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Finding the Third Proportional to 125,711 and 272,852

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Solution

The third proportional to 125,711 and 272,852 is: 592,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,711 : 272,852 = 272,852 : x
  2. Step 2: Convert to fraction form
    125,711/272,852 = 272,852/x
  3. Step 3: Cross multiply
    125,711x = 272,852 × 272,852
  4. Step 4: Simplify right side
    125,711x = 74,448,213,904
  5. Step 5: Solve for x
    x = 74,448,213,904/125,711
  6. Step 6: Final answer
    x = 592,217.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.