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Finding the Third Proportional to 62,842 and 89,575

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Solution

The third proportional to 62,842 and 89,575 is: 127,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,842 : 89,575 = 89,575 : x
  2. Step 2: Convert to fraction form
    62,842/89,575 = 89,575/x
  3. Step 3: Cross multiply
    62,842x = 89,575 × 89,575
  4. Step 4: Simplify right side
    62,842x = 8,023,680,625
  5. Step 5: Solve for x
    x = 8,023,680,625/62,842
  6. Step 6: Final answer
    x = 127,680.22

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Why These Related Problems?

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