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Finding the Third Proportional to 127,044 and 174,366

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Solution

The third proportional to 127,044 and 174,366 is: 239,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,044 : 174,366 = 174,366 : x
  2. Step 2: Convert to fraction form
    127,044/174,366 = 174,366/x
  3. Step 3: Cross multiply
    127,044x = 174,366 × 174,366
  4. Step 4: Simplify right side
    127,044x = 30,403,501,956
  5. Step 5: Solve for x
    x = 30,403,501,956/127,044
  6. Step 6: Final answer
    x = 239,314.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.