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Finding the Third Proportional to 125,642 and 270,968

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Solution

The third proportional to 125,642 and 270,968 is: 584,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,642 : 270,968 = 270,968 : x
  2. Step 2: Convert to fraction form
    125,642/270,968 = 270,968/x
  3. Step 3: Cross multiply
    125,642x = 270,968 × 270,968
  4. Step 4: Simplify right side
    125,642x = 73,423,657,024
  5. Step 5: Solve for x
    x = 73,423,657,024/125,642
  6. Step 6: Final answer
    x = 584,387.84

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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.