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Finding the Third Proportional to 127,134 and 186,759

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Solution

The third proportional to 127,134 and 186,759 is: 274,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,134 : 186,759 = 186,759 : x
  2. Step 2: Convert to fraction form
    127,134/186,759 = 186,759/x
  3. Step 3: Cross multiply
    127,134x = 186,759 × 186,759
  4. Step 4: Simplify right side
    127,134x = 34,878,924,081
  5. Step 5: Solve for x
    x = 34,878,924,081/127,134
  6. Step 6: Final answer
    x = 274,347.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.