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Finding the Third Proportional to 100,767.38 and 157,278.38

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Solution

The third proportional to 100,767.38 and 157,278.38 is: 245,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,767.38 : 157,278.38 = 157,278.38 : x
  2. Step 2: Convert to fraction form
    100,767.38/157,278.38 = 157,278.38/x
  3. Step 3: Cross multiply
    100,767.38x = 157,278.38 × 157,278.38
  4. Step 4: Simplify right side
    100,767.38x = 24,736,487,242.64
  5. Step 5: Solve for x
    x = 24,736,487,242.64/100,767.38
  6. Step 6: Final answer
    x = 245,481.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.