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Finding the Third Proportional to 59,091 and 88,680

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Solution

The third proportional to 59,091 and 88,680 is: 133,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,091 : 88,680 = 88,680 : x
  2. Step 2: Convert to fraction form
    59,091/88,680 = 88,680/x
  3. Step 3: Cross multiply
    59,091x = 88,680 × 88,680
  4. Step 4: Simplify right side
    59,091x = 7,864,142,400
  5. Step 5: Solve for x
    x = 7,864,142,400/59,091
  6. Step 6: Final answer
    x = 133,085.28

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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.