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Finding the Third Proportional to 48,320 and 102,464

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Solution

The third proportional to 48,320 and 102,464 is: 217,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,320 : 102,464 = 102,464 : x
  2. Step 2: Convert to fraction form
    48,320/102,464 = 102,464/x
  3. Step 3: Cross multiply
    48,320x = 102,464 × 102,464
  4. Step 4: Simplify right side
    48,320x = 10,498,871,296
  5. Step 5: Solve for x
    x = 10,498,871,296/48,320
  6. Step 6: Final answer
    x = 217,277.97

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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.