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Finding the Third Proportional to 85,149 and 115,693.88

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Solution

The third proportional to 85,149 and 115,693.88 is: 157,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,149 : 115,693.88 = 115,693.88 : x
  2. Step 2: Convert to fraction form
    85,149/115,693.88 = 115,693.88/x
  3. Step 3: Cross multiply
    85,149x = 115,693.88 × 115,693.88
  4. Step 4: Simplify right side
    85,149x = 13,385,072,712.52
  5. Step 5: Solve for x
    x = 13,385,072,712.52/85,149
  6. Step 6: Final answer
    x = 157,195.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.