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Finding the Third Proportional to 48,220 and 104,459

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Solution

The third proportional to 48,220 and 104,459 is: 226,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,220 : 104,459 = 104,459 : x
  2. Step 2: Convert to fraction form
    48,220/104,459 = 104,459/x
  3. Step 3: Cross multiply
    48,220x = 104,459 × 104,459
  4. Step 4: Simplify right side
    48,220x = 10,911,682,681
  5. Step 5: Solve for x
    x = 10,911,682,681/48,220
  6. Step 6: Final answer
    x = 226,289.56

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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.