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Finding the Third Proportional to 105,729.75 and 163,966.50

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Solution

The third proportional to 105,729.75 and 163,966.50 is: 254,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,729.75 : 163,966.50 = 163,966.50 : x
  2. Step 2: Convert to fraction form
    105,729.75/163,966.50 = 163,966.50/x
  3. Step 3: Cross multiply
    105,729.75x = 163,966.50 × 163,966.50
  4. Step 4: Simplify right side
    105,729.75x = 26,885,013,122.25
  5. Step 5: Solve for x
    x = 26,885,013,122.25/105,729.75
  6. Step 6: Final answer
    x = 254,280.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.