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Finding the Third Proportional to 127,872 and 191,424

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Solution

The third proportional to 127,872 and 191,424 is: 286,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872 : 191,424 = 191,424 : x
  2. Step 2: Convert to fraction form
    127,872/191,424 = 191,424/x
  3. Step 3: Cross multiply
    127,872x = 191,424 × 191,424
  4. Step 4: Simplify right side
    127,872x = 36,643,147,776
  5. Step 5: Solve for x
    x = 36,643,147,776/127,872
  6. Step 6: Final answer
    x = 286,561.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.