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Finding the Third Proportional to 88,708 and 121,542

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Solution

The third proportional to 88,708 and 121,542 is: 166,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,708 : 121,542 = 121,542 : x
  2. Step 2: Convert to fraction form
    88,708/121,542 = 121,542/x
  3. Step 3: Cross multiply
    88,708x = 121,542 × 121,542
  4. Step 4: Simplify right side
    88,708x = 14,772,457,764
  5. Step 5: Solve for x
    x = 14,772,457,764/88,708
  6. Step 6: Final answer
    x = 166,529.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.