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Finding the Third Proportional to 125,643 and 270,967

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Solution

The third proportional to 125,643 and 270,967 is: 584,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,643 : 270,967 = 270,967 : x
  2. Step 2: Convert to fraction form
    125,643/270,967 = 270,967/x
  3. Step 3: Cross multiply
    125,643x = 270,967 × 270,967
  4. Step 4: Simplify right side
    125,643x = 73,423,115,089
  5. Step 5: Solve for x
    x = 73,423,115,089/125,643
  6. Step 6: Final answer
    x = 584,378.88

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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.