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Finding the Third Proportional to 59,862 and 91,887

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Solution

The third proportional to 59,862 and 91,887 is: 141,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,862 : 91,887 = 91,887 : x
  2. Step 2: Convert to fraction form
    59,862/91,887 = 91,887/x
  3. Step 3: Cross multiply
    59,862x = 91,887 × 91,887
  4. Step 4: Simplify right side
    59,862x = 8,443,220,769
  5. Step 5: Solve for x
    x = 8,443,220,769/59,862
  6. Step 6: Final answer
    x = 141,044.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.