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Finding the Third Proportional to 125,406 and 271,263

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Solution

The third proportional to 125,406 and 271,263 is: 586,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,406 : 271,263 = 271,263 : x
  2. Step 2: Convert to fraction form
    125,406/271,263 = 271,263/x
  3. Step 3: Cross multiply
    125,406x = 271,263 × 271,263
  4. Step 4: Simplify right side
    125,406x = 73,583,615,169
  5. Step 5: Solve for x
    x = 73,583,615,169/125,406
  6. Step 6: Final answer
    x = 586,763.11

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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.