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Finding the Third Proportional to 62,721 and 89,409

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Solution

The third proportional to 62,721 and 89,409 is: 127,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,721 : 89,409 = 89,409 : x
  2. Step 2: Convert to fraction form
    62,721/89,409 = 89,409/x
  3. Step 3: Cross multiply
    62,721x = 89,409 × 89,409
  4. Step 4: Simplify right side
    62,721x = 7,993,969,281
  5. Step 5: Solve for x
    x = 7,993,969,281/62,721
  6. Step 6: Final answer
    x = 127,452.84

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.