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Finding the Third Proportional to 124,924.78 and 178,043.06

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Solution

The third proportional to 124,924.78 and 178,043.06 is: 253,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,924.78 : 178,043.06 = 178,043.06 : x
  2. Step 2: Convert to fraction form
    124,924.78/178,043.06 = 178,043.06/x
  3. Step 3: Cross multiply
    124,924.78x = 178,043.06 × 178,043.06
  4. Step 4: Simplify right side
    124,924.78x = 31,699,332,104.38
  5. Step 5: Solve for x
    x = 31,699,332,104.38/124,924.78
  6. Step 6: Final answer
    x = 253,747.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.