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Finding the Third Proportional to 59,952 and 87,984

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Solution

The third proportional to 59,952 and 87,984 is: 129,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,952 : 87,984 = 87,984 : x
  2. Step 2: Convert to fraction form
    59,952/87,984 = 87,984/x
  3. Step 3: Cross multiply
    59,952x = 87,984 × 87,984
  4. Step 4: Simplify right side
    59,952x = 7,741,184,256
  5. Step 5: Solve for x
    x = 7,741,184,256/59,952
  6. Step 6: Final answer
    x = 129,123.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.