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Finding the Third Proportional to 127,767 and 191,957

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Solution

The third proportional to 127,767 and 191,957 is: 288,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,767 : 191,957 = 191,957 : x
  2. Step 2: Convert to fraction form
    127,767/191,957 = 191,957/x
  3. Step 3: Cross multiply
    127,767x = 191,957 × 191,957
  4. Step 4: Simplify right side
    127,767x = 36,847,489,849
  5. Step 5: Solve for x
    x = 36,847,489,849/127,767
  6. Step 6: Final answer
    x = 288,395.99

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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.