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Finding the Third Proportional to 128,926 and 193,452

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Solution

The third proportional to 128,926 and 193,452 is: 290,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,926 : 193,452 = 193,452 : x
  2. Step 2: Convert to fraction form
    128,926/193,452 = 193,452/x
  3. Step 3: Cross multiply
    128,926x = 193,452 × 193,452
  4. Step 4: Simplify right side
    128,926x = 37,423,676,304
  5. Step 5: Solve for x
    x = 37,423,676,304/128,926
  6. Step 6: Final answer
    x = 290,272.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.