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Finding the Third Proportional to 63,694.13 and 81,688.50

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Solution

The third proportional to 63,694.13 and 81,688.50 is: 104,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,694.13 : 81,688.50 = 81,688.50 : x
  2. Step 2: Convert to fraction form
    63,694.13/81,688.50 = 81,688.50/x
  3. Step 3: Cross multiply
    63,694.13x = 81,688.50 × 81,688.50
  4. Step 4: Simplify right side
    63,694.13x = 6,673,011,032.25
  5. Step 5: Solve for x
    x = 6,673,011,032.25/63,694.13
  6. Step 6: Final answer
    x = 104,766.51

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.