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Finding the Third Proportional to 59,088 and 88,424

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Solution

The third proportional to 59,088 and 88,424 is: 132,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,088 : 88,424 = 88,424 : x
  2. Step 2: Convert to fraction form
    59,088/88,424 = 88,424/x
  3. Step 3: Cross multiply
    59,088x = 88,424 × 88,424
  4. Step 4: Simplify right side
    59,088x = 7,818,803,776
  5. Step 5: Solve for x
    x = 7,818,803,776/59,088
  6. Step 6: Final answer
    x = 132,324.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.