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Finding the Third Proportional to 48,464 and 104,566

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Solution

The third proportional to 48,464 and 104,566 is: 225,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,464 : 104,566 = 104,566 : x
  2. Step 2: Convert to fraction form
    48,464/104,566 = 104,566/x
  3. Step 3: Cross multiply
    48,464x = 104,566 × 104,566
  4. Step 4: Simplify right side
    48,464x = 10,934,048,356
  5. Step 5: Solve for x
    x = 10,934,048,356/48,464
  6. Step 6: Final answer
    x = 225,611.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.