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Finding the Third Proportional to 59,514 and 81,607

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Solution

The third proportional to 59,514 and 81,607 is: 111,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,514 : 81,607 = 81,607 : x
  2. Step 2: Convert to fraction form
    59,514/81,607 = 81,607/x
  3. Step 3: Cross multiply
    59,514x = 81,607 × 81,607
  4. Step 4: Simplify right side
    59,514x = 6,659,702,449
  5. Step 5: Solve for x
    x = 6,659,702,449/59,514
  6. Step 6: Final answer
    x = 111,901.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.