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Finding the Third Proportional to 73,082 and 110,413

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Solution

The third proportional to 73,082 and 110,413 is: 166,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,082 : 110,413 = 110,413 : x
  2. Step 2: Convert to fraction form
    73,082/110,413 = 110,413/x
  3. Step 3: Cross multiply
    73,082x = 110,413 × 110,413
  4. Step 4: Simplify right side
    73,082x = 12,191,030,569
  5. Step 5: Solve for x
    x = 12,191,030,569/73,082
  6. Step 6: Final answer
    x = 166,813.04

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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.