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Finding the Third Proportional to 48,027 and 77,166.50

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Solution

The third proportional to 48,027 and 77,166.50 is: 123,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,027 : 77,166.50 = 77,166.50 : x
  2. Step 2: Convert to fraction form
    48,027/77,166.50 = 77,166.50/x
  3. Step 3: Cross multiply
    48,027x = 77,166.50 × 77,166.50
  4. Step 4: Simplify right side
    48,027x = 5,954,668,722.25
  5. Step 5: Solve for x
    x = 5,954,668,722.25/48,027
  6. Step 6: Final answer
    x = 123,985.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.