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Finding the Third Proportional to 107,720 and 230,102

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Solution

The third proportional to 107,720 and 230,102 is: 491,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,720 : 230,102 = 230,102 : x
  2. Step 2: Convert to fraction form
    107,720/230,102 = 230,102/x
  3. Step 3: Cross multiply
    107,720x = 230,102 × 230,102
  4. Step 4: Simplify right side
    107,720x = 52,946,930,404
  5. Step 5: Solve for x
    x = 52,946,930,404/107,720
  6. Step 6: Final answer
    x = 491,523.68

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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.