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Finding the Third Proportional to 127,944 and 191,376

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Solution

The third proportional to 127,944 and 191,376 is: 286,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,944 : 191,376 = 191,376 : x
  2. Step 2: Convert to fraction form
    127,944/191,376 = 191,376/x
  3. Step 3: Cross multiply
    127,944x = 191,376 × 191,376
  4. Step 4: Simplify right side
    127,944x = 36,624,773,376
  5. Step 5: Solve for x
    x = 36,624,773,376/127,944
  6. Step 6: Final answer
    x = 286,256.28

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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.