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Finding the Third Proportional to 58,522 and 125,926

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Solution

The third proportional to 58,522 and 125,926 is: 270,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,522 : 125,926 = 125,926 : x
  2. Step 2: Convert to fraction form
    58,522/125,926 = 125,926/x
  3. Step 3: Cross multiply
    58,522x = 125,926 × 125,926
  4. Step 4: Simplify right side
    58,522x = 15,857,357,476
  5. Step 5: Solve for x
    x = 15,857,357,476/58,522
  6. Step 6: Final answer
    x = 270,964.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.