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Finding the Third Proportional to 52,693 and 80,377.50

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Solution

The third proportional to 52,693 and 80,377.50 is: 122,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,693 : 80,377.50 = 80,377.50 : x
  2. Step 2: Convert to fraction form
    52,693/80,377.50 = 80,377.50/x
  3. Step 3: Cross multiply
    52,693x = 80,377.50 × 80,377.50
  4. Step 4: Simplify right side
    52,693x = 6,460,542,506.25
  5. Step 5: Solve for x
    x = 6,460,542,506.25/52,693
  6. Step 6: Final answer
    x = 122,607.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.