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Finding the Third Proportional to 48,641 and 106,508

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Solution

The third proportional to 48,641 and 106,508 is: 233,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,641 : 106,508 = 106,508 : x
  2. Step 2: Convert to fraction form
    48,641/106,508 = 106,508/x
  3. Step 3: Cross multiply
    48,641x = 106,508 × 106,508
  4. Step 4: Simplify right side
    48,641x = 11,343,954,064
  5. Step 5: Solve for x
    x = 11,343,954,064/48,641
  6. Step 6: Final answer
    x = 233,217.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.