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Finding the Third Proportional to 104,031.75 and 157,141.13

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Solution

The third proportional to 104,031.75 and 157,141.13 is: 237,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,031.75 : 157,141.13 = 157,141.13 : x
  2. Step 2: Convert to fraction form
    104,031.75/157,141.13 = 157,141.13/x
  3. Step 3: Cross multiply
    104,031.75x = 157,141.13 × 157,141.13
  4. Step 4: Simplify right side
    104,031.75x = 24,693,333,166.27
  5. Step 5: Solve for x
    x = 24,693,333,166.27/104,031.75
  6. Step 6: Final answer
    x = 237,363.43

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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.