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Finding the Third Proportional to 103,056.75 and 163,930.50

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Solution

The third proportional to 103,056.75 and 163,930.50 is: 260,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,056.75 : 163,930.50 = 163,930.50 : x
  2. Step 2: Convert to fraction form
    103,056.75/163,930.50 = 163,930.50/x
  3. Step 3: Cross multiply
    103,056.75x = 163,930.50 × 163,930.50
  4. Step 4: Simplify right side
    103,056.75x = 26,873,208,830.25
  5. Step 5: Solve for x
    x = 26,873,208,830.25/103,056.75
  6. Step 6: Final answer
    x = 260,761.27

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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.