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Finding the Third Proportional to 111,207.52 and 172,341.42

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Solution

The third proportional to 111,207.52 and 172,341.42 is: 267,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,207.52 : 172,341.42 = 172,341.42 : x
  2. Step 2: Convert to fraction form
    111,207.52/172,341.42 = 172,341.42/x
  3. Step 3: Cross multiply
    111,207.52x = 172,341.42 × 172,341.42
  4. Step 4: Simplify right side
    111,207.52x = 29,701,565,693.90
  5. Step 5: Solve for x
    x = 29,701,565,693.90/111,207.52
  6. Step 6: Final answer
    x = 267,082.36

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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.