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Finding the Third Proportional to 48,866 and 73,417

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Solution

The third proportional to 48,866 and 73,417 is: 110,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,866 : 73,417 = 73,417 : x
  2. Step 2: Convert to fraction form
    48,866/73,417 = 73,417/x
  3. Step 3: Cross multiply
    48,866x = 73,417 × 73,417
  4. Step 4: Simplify right side
    48,866x = 5,390,055,889
  5. Step 5: Solve for x
    x = 5,390,055,889/48,866
  6. Step 6: Final answer
    x = 110,302.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.