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Finding the Third Proportional to 48,520 and 106,562

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Solution

The third proportional to 48,520 and 106,562 is: 234,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,520 : 106,562 = 106,562 : x
  2. Step 2: Convert to fraction form
    48,520/106,562 = 106,562/x
  3. Step 3: Cross multiply
    48,520x = 106,562 × 106,562
  4. Step 4: Simplify right side
    48,520x = 11,355,459,844
  5. Step 5: Solve for x
    x = 11,355,459,844/48,520
  6. Step 6: Final answer
    x = 234,036.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.