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Finding the Third Proportional to 59,100 and 88,650

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Solution

The third proportional to 59,100 and 88,650 is: 132,975

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,100 : 88,650 = 88,650 : x
  2. Step 2: Convert to fraction form
    59,100/88,650 = 88,650/x
  3. Step 3: Cross multiply
    59,100x = 88,650 × 88,650
  4. Step 4: Simplify right side
    59,100x = 7,858,822,500
  5. Step 5: Solve for x
    x = 7,858,822,500/59,100
  6. Step 6: Final answer
    x = 132,975

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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.