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Finding the Third Proportional to 48,720 and 106,371

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Solution

The third proportional to 48,720 and 106,371 is: 232,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,720 : 106,371 = 106,371 : x
  2. Step 2: Convert to fraction form
    48,720/106,371 = 106,371/x
  3. Step 3: Cross multiply
    48,720x = 106,371 × 106,371
  4. Step 4: Simplify right side
    48,720x = 11,314,789,641
  5. Step 5: Solve for x
    x = 11,314,789,641/48,720
  6. Step 6: Final answer
    x = 232,241.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.