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Finding the Third Proportional to 48,246 and 103,414

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Solution

The third proportional to 48,246 and 103,414 is: 221,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,246 : 103,414 = 103,414 : x
  2. Step 2: Convert to fraction form
    48,246/103,414 = 103,414/x
  3. Step 3: Cross multiply
    48,246x = 103,414 × 103,414
  4. Step 4: Simplify right side
    48,246x = 10,694,455,396
  5. Step 5: Solve for x
    x = 10,694,455,396/48,246
  6. Step 6: Final answer
    x = 221,665.12

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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.