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Finding the Third Proportional to 48,520 and 106,060

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Solution

The third proportional to 48,520 and 106,060 is: 231,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,520 : 106,060 = 106,060 : x
  2. Step 2: Convert to fraction form
    48,520/106,060 = 106,060/x
  3. Step 3: Cross multiply
    48,520x = 106,060 × 106,060
  4. Step 4: Simplify right side
    48,520x = 11,248,723,600
  5. Step 5: Solve for x
    x = 11,248,723,600/48,520
  6. Step 6: Final answer
    x = 231,836.84

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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.