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Finding the Third Proportional to 124,939.13 and 178,063.31

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Solution

The third proportional to 124,939.13 and 178,063.31 is: 253,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,939.13 : 178,063.31 = 178,063.31 : x
  2. Step 2: Convert to fraction form
    124,939.13/178,063.31 = 178,063.31/x
  3. Step 3: Cross multiply
    124,939.13x = 178,063.31 × 178,063.31
  4. Step 4: Simplify right side
    124,939.13x = 31,706,543,258.47
  5. Step 5: Solve for x
    x = 31,706,543,258.47/124,939.13
  6. Step 6: Final answer
    x = 253,775.93

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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.