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Finding the Third Proportional to 52,203 and 79,342.50

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Solution

The third proportional to 52,203 and 79,342.50 is: 120,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,203 : 79,342.50 = 79,342.50 : x
  2. Step 2: Convert to fraction form
    52,203/79,342.50 = 79,342.50/x
  3. Step 3: Cross multiply
    52,203x = 79,342.50 × 79,342.50
  4. Step 4: Simplify right side
    52,203x = 6,295,232,306.25
  5. Step 5: Solve for x
    x = 6,295,232,306.25/52,203
  6. Step 6: Final answer
    x = 120,591.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.