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Finding the Third Proportional to 36,320 and 76,312

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Solution

The third proportional to 36,320 and 76,312 is: 160,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,320 : 76,312 = 76,312 : x
  2. Step 2: Convert to fraction form
    36,320/76,312 = 76,312/x
  3. Step 3: Cross multiply
    36,320x = 76,312 × 76,312
  4. Step 4: Simplify right side
    36,320x = 5,823,521,344
  5. Step 5: Solve for x
    x = 5,823,521,344/36,320
  6. Step 6: Final answer
    x = 160,339.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.