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Finding the Third Proportional to 59,424 and 89,150

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Solution

The third proportional to 59,424 and 89,150 is: 133,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,424 : 89,150 = 89,150 : x
  2. Step 2: Convert to fraction form
    59,424/89,150 = 89,150/x
  3. Step 3: Cross multiply
    59,424x = 89,150 × 89,150
  4. Step 4: Simplify right side
    59,424x = 7,947,722,500
  5. Step 5: Solve for x
    x = 7,947,722,500/59,424
  6. Step 6: Final answer
    x = 133,746.00

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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.