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Finding the Third Proportional to 48,072 and 103,080

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Solution

The third proportional to 48,072 and 103,080 is: 221,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,072 : 103,080 = 103,080 : x
  2. Step 2: Convert to fraction form
    48,072/103,080 = 103,080/x
  3. Step 3: Cross multiply
    48,072x = 103,080 × 103,080
  4. Step 4: Simplify right side
    48,072x = 10,625,486,400
  5. Step 5: Solve for x
    x = 10,625,486,400/48,072
  6. Step 6: Final answer
    x = 221,032.75

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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.