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Finding the Third Proportional to 125,558 and 271,033

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Solution

The third proportional to 125,558 and 271,033 is: 585,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,558 : 271,033 = 271,033 : x
  2. Step 2: Convert to fraction form
    125,558/271,033 = 271,033/x
  3. Step 3: Cross multiply
    125,558x = 271,033 × 271,033
  4. Step 4: Simplify right side
    125,558x = 73,458,887,089
  5. Step 5: Solve for x
    x = 73,458,887,089/125,558
  6. Step 6: Final answer
    x = 585,059.39

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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.