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Finding the Third Proportional to 124,344 and 266,138

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Solution

The third proportional to 124,344 and 266,138 is: 569,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,344 : 266,138 = 266,138 : x
  2. Step 2: Convert to fraction form
    124,344/266,138 = 266,138/x
  3. Step 3: Cross multiply
    124,344x = 266,138 × 266,138
  4. Step 4: Simplify right side
    124,344x = 70,829,435,044
  5. Step 5: Solve for x
    x = 70,829,435,044/124,344
  6. Step 6: Final answer
    x = 569,624.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.