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Finding the Third Proportional to 115,507.38 and 172,791

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Solution

The third proportional to 115,507.38 and 172,791 is: 258,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,507.38 : 172,791 = 172,791 : x
  2. Step 2: Convert to fraction form
    115,507.38/172,791 = 172,791/x
  3. Step 3: Cross multiply
    115,507.38x = 172,791 × 172,791
  4. Step 4: Simplify right side
    115,507.38x = 29,856,729,681
  5. Step 5: Solve for x
    x = 29,856,729,681/115,507.38
  6. Step 6: Final answer
    x = 258,483.32

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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.