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Finding the Third Proportional to 72,632 and 98,572

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Solution

The third proportional to 72,632 and 98,572 is: 133,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,632 : 98,572 = 98,572 : x
  2. Step 2: Convert to fraction form
    72,632/98,572 = 98,572/x
  3. Step 3: Cross multiply
    72,632x = 98,572 × 98,572
  4. Step 4: Simplify right side
    72,632x = 9,716,439,184
  5. Step 5: Solve for x
    x = 9,716,439,184/72,632
  6. Step 6: Final answer
    x = 133,776.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.