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Finding the Third Proportional to 127,881 and 266,184

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Solution

The third proportional to 127,881 and 266,184 is: 554,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,881 : 266,184 = 266,184 : x
  2. Step 2: Convert to fraction form
    127,881/266,184 = 266,184/x
  3. Step 3: Cross multiply
    127,881x = 266,184 × 266,184
  4. Step 4: Simplify right side
    127,881x = 70,853,921,856
  5. Step 5: Solve for x
    x = 70,853,921,856/127,881
  6. Step 6: Final answer
    x = 554,061.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.