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Finding the Third Proportional to 127,414 and 191,082

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Solution

The third proportional to 127,414 and 191,082 is: 286,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,414 : 191,082 = 191,082 : x
  2. Step 2: Convert to fraction form
    127,414/191,082 = 191,082/x
  3. Step 3: Cross multiply
    127,414x = 191,082 × 191,082
  4. Step 4: Simplify right side
    127,414x = 36,512,330,724
  5. Step 5: Solve for x
    x = 36,512,330,724/127,414
  6. Step 6: Final answer
    x = 286,564.51

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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.