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Finding the Third Proportional to 67,324 and 146,466

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Solution

The third proportional to 67,324 and 146,466 is: 318,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,324 : 146,466 = 146,466 : x
  2. Step 2: Convert to fraction form
    67,324/146,466 = 146,466/x
  3. Step 3: Cross multiply
    67,324x = 146,466 × 146,466
  4. Step 4: Simplify right side
    67,324x = 21,452,289,156
  5. Step 5: Solve for x
    x = 21,452,289,156/67,324
  6. Step 6: Final answer
    x = 318,642.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.