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Finding the Third Proportional to 50,520 and 78,439.50

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Solution

The third proportional to 50,520 and 78,439.50 is: 121,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,520 : 78,439.50 = 78,439.50 : x
  2. Step 2: Convert to fraction form
    50,520/78,439.50 = 78,439.50/x
  3. Step 3: Cross multiply
    50,520x = 78,439.50 × 78,439.50
  4. Step 4: Simplify right side
    50,520x = 6,152,755,160.25
  5. Step 5: Solve for x
    x = 6,152,755,160.25/50,520
  6. Step 6: Final answer
    x = 121,788.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.