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Finding the Third Proportional to 31,352 and 67,078

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Solution

The third proportional to 31,352 and 67,078 is: 143,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352 : 67,078 = 67,078 : x
  2. Step 2: Convert to fraction form
    31,352/67,078 = 67,078/x
  3. Step 3: Cross multiply
    31,352x = 67,078 × 67,078
  4. Step 4: Simplify right side
    31,352x = 4,499,458,084
  5. Step 5: Solve for x
    x = 4,499,458,084/31,352
  6. Step 6: Final answer
    x = 143,514.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.