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Finding the Third Proportional to 48,980 and 106,264

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Solution

The third proportional to 48,980 and 106,264 is: 230,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,980 : 106,264 = 106,264 : x
  2. Step 2: Convert to fraction form
    48,980/106,264 = 106,264/x
  3. Step 3: Cross multiply
    48,980x = 106,264 × 106,264
  4. Step 4: Simplify right side
    48,980x = 11,292,037,696
  5. Step 5: Solve for x
    x = 11,292,037,696/48,980
  6. Step 6: Final answer
    x = 230,543.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.