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Finding the Third Proportional to 59,708 and 90,750

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Solution

The third proportional to 59,708 and 90,750 is: 137,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,708 : 90,750 = 90,750 : x
  2. Step 2: Convert to fraction form
    59,708/90,750 = 90,750/x
  3. Step 3: Cross multiply
    59,708x = 90,750 × 90,750
  4. Step 4: Simplify right side
    59,708x = 8,235,562,500
  5. Step 5: Solve for x
    x = 8,235,562,500/59,708
  6. Step 6: Final answer
    x = 137,930.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.