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Finding the Third Proportional to 59,115 and 88,674

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Solution

The third proportional to 59,115 and 88,674 is: 133,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,115 : 88,674 = 88,674 : x
  2. Step 2: Convert to fraction form
    59,115/88,674 = 88,674/x
  3. Step 3: Cross multiply
    59,115x = 88,674 × 88,674
  4. Step 4: Simplify right side
    59,115x = 7,863,078,276
  5. Step 5: Solve for x
    x = 7,863,078,276/59,115
  6. Step 6: Final answer
    x = 133,013.25

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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.