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Finding the Third Proportional to 103,060.50 and 163,941.75

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Solution

The third proportional to 103,060.50 and 163,941.75 is: 260,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,060.50 : 163,941.75 = 163,941.75 : x
  2. Step 2: Convert to fraction form
    103,060.50/163,941.75 = 163,941.75/x
  3. Step 3: Cross multiply
    103,060.50x = 163,941.75 × 163,941.75
  4. Step 4: Simplify right side
    103,060.50x = 26,876,897,393.06
  5. Step 5: Solve for x
    x = 26,876,897,393.06/103,060.50
  6. Step 6: Final answer
    x = 260,787.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.