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Finding the Third Proportional to 127,062 and 178,497

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Solution

The third proportional to 127,062 and 178,497 is: 250,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,062 : 178,497 = 178,497 : x
  2. Step 2: Convert to fraction form
    127,062/178,497 = 178,497/x
  3. Step 3: Cross multiply
    127,062x = 178,497 × 178,497
  4. Step 4: Simplify right side
    127,062x = 31,861,179,009
  5. Step 5: Solve for x
    x = 31,861,179,009/127,062
  6. Step 6: Final answer
    x = 250,753.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.