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Finding the Third Proportional to 47,532 and 103,920

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Solution

The third proportional to 47,532 and 103,920 is: 227,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,532 : 103,920 = 103,920 : x
  2. Step 2: Convert to fraction form
    47,532/103,920 = 103,920/x
  3. Step 3: Cross multiply
    47,532x = 103,920 × 103,920
  4. Step 4: Simplify right side
    47,532x = 10,799,366,400
  5. Step 5: Solve for x
    x = 10,799,366,400/47,532
  6. Step 6: Final answer
    x = 227,202.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.