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Finding the Third Proportional to 87,176.50 and 134,707.88

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Solution

The third proportional to 87,176.50 and 134,707.88 is: 208,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,176.50 : 134,707.88 = 134,707.88 : x
  2. Step 2: Convert to fraction form
    87,176.50/134,707.88 = 134,707.88/x
  3. Step 3: Cross multiply
    87,176.50x = 134,707.88 × 134,707.88
  4. Step 4: Simplify right side
    87,176.50x = 18,146,211,587.02
  5. Step 5: Solve for x
    x = 18,146,211,587.02/87,176.50
  6. Step 6: Final answer
    x = 208,154.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.