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Finding the Third Proportional to 127,984 and 176,424

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Solution

The third proportional to 127,984 and 176,424 is: 243,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,984 : 176,424 = 176,424 : x
  2. Step 2: Convert to fraction form
    127,984/176,424 = 176,424/x
  3. Step 3: Cross multiply
    127,984x = 176,424 × 176,424
  4. Step 4: Simplify right side
    127,984x = 31,125,427,776
  5. Step 5: Solve for x
    x = 31,125,427,776/127,984
  6. Step 6: Final answer
    x = 243,197.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.