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Finding the Third Proportional to 59,012 and 88,328

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Solution

The third proportional to 59,012 and 88,328 is: 132,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,012 : 88,328 = 88,328 : x
  2. Step 2: Convert to fraction form
    59,012/88,328 = 88,328/x
  3. Step 3: Cross multiply
    59,012x = 88,328 × 88,328
  4. Step 4: Simplify right side
    59,012x = 7,801,835,584
  5. Step 5: Solve for x
    x = 7,801,835,584/59,012
  6. Step 6: Final answer
    x = 132,207.61

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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.