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Finding the Third Proportional to 52,082.25 and 78,852.75

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Solution

The third proportional to 52,082.25 and 78,852.75 is: 119,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082.25 : 78,852.75 = 78,852.75 : x
  2. Step 2: Convert to fraction form
    52,082.25/78,852.75 = 78,852.75/x
  3. Step 3: Cross multiply
    52,082.25x = 78,852.75 × 78,852.75
  4. Step 4: Simplify right side
    52,082.25x = 6,217,756,182.56
  5. Step 5: Solve for x
    x = 6,217,756,182.56/52,082.25
  6. Step 6: Final answer
    x = 119,383.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.