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Finding the Third Proportional to 71,184 and 144,413

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Solution

The third proportional to 71,184 and 144,413 is: 292,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184 : 144,413 = 144,413 : x
  2. Step 2: Convert to fraction form
    71,184/144,413 = 144,413/x
  3. Step 3: Cross multiply
    71,184x = 144,413 × 144,413
  4. Step 4: Simplify right side
    71,184x = 20,855,114,569
  5. Step 5: Solve for x
    x = 20,855,114,569/71,184
  6. Step 6: Final answer
    x = 292,974.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.