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Finding the Third Proportional to 125,412 and 267,832.50

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Solution

The third proportional to 125,412 and 267,832.50 is: 571,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,412 : 267,832.50 = 267,832.50 : x
  2. Step 2: Convert to fraction form
    125,412/267,832.50 = 267,832.50/x
  3. Step 3: Cross multiply
    125,412x = 267,832.50 × 267,832.50
  4. Step 4: Simplify right side
    125,412x = 71,734,248,056.25
  5. Step 5: Solve for x
    x = 71,734,248,056.25/125,412
  6. Step 6: Final answer
    x = 571,988.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.