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Finding the Third Proportional to 52,264 and 79,624.50

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Solution

The third proportional to 52,264 and 79,624.50 is: 121,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,264 : 79,624.50 = 79,624.50 : x
  2. Step 2: Convert to fraction form
    52,264/79,624.50 = 79,624.50/x
  3. Step 3: Cross multiply
    52,264x = 79,624.50 × 79,624.50
  4. Step 4: Simplify right side
    52,264x = 6,340,061,000.25
  5. Step 5: Solve for x
    x = 6,340,061,000.25/52,264
  6. Step 6: Final answer
    x = 121,308.38

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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.