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Finding the Third Proportional to 75,207.38 and 112,825.88

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Solution

The third proportional to 75,207.38 and 112,825.88 is: 169,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,207.38 : 112,825.88 = 112,825.88 : x
  2. Step 2: Convert to fraction form
    75,207.38/112,825.88 = 112,825.88/x
  3. Step 3: Cross multiply
    75,207.38x = 112,825.88 × 112,825.88
  4. Step 4: Simplify right side
    75,207.38x = 12,729,678,069.52
  5. Step 5: Solve for x
    x = 12,729,678,069.52/75,207.38
  6. Step 6: Final answer
    x = 169,261.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.