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Finding the Third Proportional to 123,126 and 265,940

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Solution

The third proportional to 123,126 and 265,940 is: 574,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,126 : 265,940 = 265,940 : x
  2. Step 2: Convert to fraction form
    123,126/265,940 = 265,940/x
  3. Step 3: Cross multiply
    123,126x = 265,940 × 265,940
  4. Step 4: Simplify right side
    123,126x = 70,724,083,600
  5. Step 5: Solve for x
    x = 70,724,083,600/123,126
  6. Step 6: Final answer
    x = 574,404.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.