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Finding the Third Proportional to 48,134 and 103,666

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Solution

The third proportional to 48,134 and 103,666 is: 223,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,134 : 103,666 = 103,666 : x
  2. Step 2: Convert to fraction form
    48,134/103,666 = 103,666/x
  3. Step 3: Cross multiply
    48,134x = 103,666 × 103,666
  4. Step 4: Simplify right side
    48,134x = 10,746,639,556
  5. Step 5: Solve for x
    x = 10,746,639,556/48,134
  6. Step 6: Final answer
    x = 223,265.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.