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Finding the Third Proportional to 67,248 and 146,324

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Solution

The third proportional to 67,248 and 146,324 is: 318,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,248 : 146,324 = 146,324 : x
  2. Step 2: Convert to fraction form
    67,248/146,324 = 146,324/x
  3. Step 3: Cross multiply
    67,248x = 146,324 × 146,324
  4. Step 4: Simplify right side
    67,248x = 21,410,712,976
  5. Step 5: Solve for x
    x = 21,410,712,976/67,248
  6. Step 6: Final answer
    x = 318,384.38

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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.