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Finding the Third Proportional to 123,156 and 265,542

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Solution

The third proportional to 123,156 and 265,542 is: 572,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,156 : 265,542 = 265,542 : x
  2. Step 2: Convert to fraction form
    123,156/265,542 = 265,542/x
  3. Step 3: Cross multiply
    123,156x = 265,542 × 265,542
  4. Step 4: Simplify right side
    123,156x = 70,512,553,764
  5. Step 5: Solve for x
    x = 70,512,553,764/123,156
  6. Step 6: Final answer
    x = 572,546.64

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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.