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Finding the Third Proportional to 104,031.38 and 157,140.56

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Solution

The third proportional to 104,031.38 and 157,140.56 is: 237,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,031.38 : 157,140.56 = 157,140.56 : x
  2. Step 2: Convert to fraction form
    104,031.38/157,140.56 = 157,140.56/x
  3. Step 3: Cross multiply
    104,031.38x = 157,140.56 × 157,140.56
  4. Step 4: Simplify right side
    104,031.38x = 24,693,156,382.82
  5. Step 5: Solve for x
    x = 24,693,156,382.82/104,031.38
  6. Step 6: Final answer
    x = 237,362.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.