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Finding the Third Proportional to 48,814 and 106,580

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Solution

The third proportional to 48,814 and 106,580 is: 232,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,814 : 106,580 = 106,580 : x
  2. Step 2: Convert to fraction form
    48,814/106,580 = 106,580/x
  3. Step 3: Cross multiply
    48,814x = 106,580 × 106,580
  4. Step 4: Simplify right side
    48,814x = 11,359,296,400
  5. Step 5: Solve for x
    x = 11,359,296,400/48,814
  6. Step 6: Final answer
    x = 232,705.71

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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.