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Finding the Third Proportional to 50,112 and 79,294.50

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Solution

The third proportional to 50,112 and 79,294.50 is: 125,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,112 : 79,294.50 = 79,294.50 : x
  2. Step 2: Convert to fraction form
    50,112/79,294.50 = 79,294.50/x
  3. Step 3: Cross multiply
    50,112x = 79,294.50 × 79,294.50
  4. Step 4: Simplify right side
    50,112x = 6,287,617,730.25
  5. Step 5: Solve for x
    x = 6,287,617,730.25/50,112
  6. Step 6: Final answer
    x = 125,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.