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Finding the Third Proportional to 63,981 and 102,217.50

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Solution

The third proportional to 63,981 and 102,217.50 is: 163,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,981 : 102,217.50 = 102,217.50 : x
  2. Step 2: Convert to fraction form
    63,981/102,217.50 = 102,217.50/x
  3. Step 3: Cross multiply
    63,981x = 102,217.50 × 102,217.50
  4. Step 4: Simplify right side
    63,981x = 10,448,417,306.25
  5. Step 5: Solve for x
    x = 10,448,417,306.25/63,981
  6. Step 6: Final answer
    x = 163,305.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.