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Finding the Third Proportional to 59,056 and 87,744

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Solution

The third proportional to 59,056 and 87,744 is: 130,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,056 : 87,744 = 87,744 : x
  2. Step 2: Convert to fraction form
    59,056/87,744 = 87,744/x
  3. Step 3: Cross multiply
    59,056x = 87,744 × 87,744
  4. Step 4: Simplify right side
    59,056x = 7,699,009,536
  5. Step 5: Solve for x
    x = 7,699,009,536/59,056
  6. Step 6: Final answer
    x = 130,367.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.