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Finding the Third Proportional to 62,282 and 89,535

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Solution

The third proportional to 62,282 and 89,535 is: 128,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,282 : 89,535 = 89,535 : x
  2. Step 2: Convert to fraction form
    62,282/89,535 = 89,535/x
  3. Step 3: Cross multiply
    62,282x = 89,535 × 89,535
  4. Step 4: Simplify right side
    62,282x = 8,016,516,225
  5. Step 5: Solve for x
    x = 8,016,516,225/62,282
  6. Step 6: Final answer
    x = 128,713.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.