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Finding the Third Proportional to 109,926 and 239,534

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Solution

The third proportional to 109,926 and 239,534 is: 521,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,926 : 239,534 = 239,534 : x
  2. Step 2: Convert to fraction form
    109,926/239,534 = 239,534/x
  3. Step 3: Cross multiply
    109,926x = 239,534 × 239,534
  4. Step 4: Simplify right side
    109,926x = 57,376,537,156
  5. Step 5: Solve for x
    x = 57,376,537,156/109,926
  6. Step 6: Final answer
    x = 521,956.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.