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Finding the Third Proportional to 126,594 and 272,871

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Solution

The third proportional to 126,594 and 272,871 is: 588,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,594 : 272,871 = 272,871 : x
  2. Step 2: Convert to fraction form
    126,594/272,871 = 272,871/x
  3. Step 3: Cross multiply
    126,594x = 272,871 × 272,871
  4. Step 4: Simplify right side
    126,594x = 74,458,582,641
  5. Step 5: Solve for x
    x = 74,458,582,641/126,594
  6. Step 6: Final answer
    x = 588,168.34

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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.