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Finding the Third Proportional to 48,460 and 102,790

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Solution

The third proportional to 48,460 and 102,790 is: 218,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,460 : 102,790 = 102,790 : x
  2. Step 2: Convert to fraction form
    48,460/102,790 = 102,790/x
  3. Step 3: Cross multiply
    48,460x = 102,790 × 102,790
  4. Step 4: Simplify right side
    48,460x = 10,565,784,100
  5. Step 5: Solve for x
    x = 10,565,784,100/48,460
  6. Step 6: Final answer
    x = 218,031.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.