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Finding the Third Proportional to 48,184.50 and 76,657.50

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Solution

The third proportional to 48,184.50 and 76,657.50 is: 121,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,184.50 : 76,657.50 = 76,657.50 : x
  2. Step 2: Convert to fraction form
    48,184.50/76,657.50 = 76,657.50/x
  3. Step 3: Cross multiply
    48,184.50x = 76,657.50 × 76,657.50
  4. Step 4: Simplify right side
    48,184.50x = 5,876,372,306.25
  5. Step 5: Solve for x
    x = 5,876,372,306.25/48,184.50
  6. Step 6: Final answer
    x = 121,955.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.