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Finding the Third Proportional to 59,982 and 85,446

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Solution

The third proportional to 59,982 and 85,446 is: 121,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,982 : 85,446 = 85,446 : x
  2. Step 2: Convert to fraction form
    59,982/85,446 = 85,446/x
  3. Step 3: Cross multiply
    59,982x = 85,446 × 85,446
  4. Step 4: Simplify right side
    59,982x = 7,301,018,916
  5. Step 5: Solve for x
    x = 7,301,018,916/59,982
  6. Step 6: Final answer
    x = 121,720.16

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.