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Finding the Third Proportional to 107,872 and 234,080

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Solution

The third proportional to 107,872 and 234,080 is: 507,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,872 : 234,080 = 234,080 : x
  2. Step 2: Convert to fraction form
    107,872/234,080 = 234,080/x
  3. Step 3: Cross multiply
    107,872x = 234,080 × 234,080
  4. Step 4: Simplify right side
    107,872x = 54,793,446,400
  5. Step 5: Solve for x
    x = 54,793,446,400/107,872
  6. Step 6: Final answer
    x = 507,948.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.