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Finding the Third Proportional to 59,186 and 88,563

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Solution

The third proportional to 59,186 and 88,563 is: 132,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,186 : 88,563 = 88,563 : x
  2. Step 2: Convert to fraction form
    59,186/88,563 = 88,563/x
  3. Step 3: Cross multiply
    59,186x = 88,563 × 88,563
  4. Step 4: Simplify right side
    59,186x = 7,843,404,969
  5. Step 5: Solve for x
    x = 7,843,404,969/59,186
  6. Step 6: Final answer
    x = 132,521.29

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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.