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Finding the Third Proportional to 104,365.13 and 157,024.69

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Solution

The third proportional to 104,365.13 and 157,024.69 is: 236,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,365.13 : 157,024.69 = 157,024.69 : x
  2. Step 2: Convert to fraction form
    104,365.13/157,024.69 = 157,024.69/x
  3. Step 3: Cross multiply
    104,365.13x = 157,024.69 × 157,024.69
  4. Step 4: Simplify right side
    104,365.13x = 24,656,752,484.47
  5. Step 5: Solve for x
    x = 24,656,752,484.47/104,365.13
  6. Step 6: Final answer
    x = 236,254.71

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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.