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Finding the Third Proportional to 59,872 and 89,808

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Solution

The third proportional to 59,872 and 89,808 is: 134,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,872 : 89,808 = 89,808 : x
  2. Step 2: Convert to fraction form
    59,872/89,808 = 89,808/x
  3. Step 3: Cross multiply
    59,872x = 89,808 × 89,808
  4. Step 4: Simplify right side
    59,872x = 8,065,476,864
  5. Step 5: Solve for x
    x = 8,065,476,864/59,872
  6. Step 6: Final answer
    x = 134,712

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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.