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Finding the Third Proportional to 59,598 and 86,919

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Solution

The third proportional to 59,598 and 86,919 is: 126,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,598 : 86,919 = 86,919 : x
  2. Step 2: Convert to fraction form
    59,598/86,919 = 86,919/x
  3. Step 3: Cross multiply
    59,598x = 86,919 × 86,919
  4. Step 4: Simplify right side
    59,598x = 7,554,912,561
  5. Step 5: Solve for x
    x = 7,554,912,561/59,598
  6. Step 6: Final answer
    x = 126,764.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.