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Finding the Third Proportional to 59,400 and 89,100

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Solution

The third proportional to 59,400 and 89,100 is: 133,650

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,400 : 89,100 = 89,100 : x
  2. Step 2: Convert to fraction form
    59,400/89,100 = 89,100/x
  3. Step 3: Cross multiply
    59,400x = 89,100 × 89,100
  4. Step 4: Simplify right side
    59,400x = 7,938,810,000
  5. Step 5: Solve for x
    x = 7,938,810,000/59,400
  6. Step 6: Final answer
    x = 133,650

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.