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Finding the Third Proportional to 36,045 and 77,292

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Solution

The third proportional to 36,045 and 77,292 is: 165,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045 : 77,292 = 77,292 : x
  2. Step 2: Convert to fraction form
    36,045/77,292 = 77,292/x
  3. Step 3: Cross multiply
    36,045x = 77,292 × 77,292
  4. Step 4: Simplify right side
    36,045x = 5,974,053,264
  5. Step 5: Solve for x
    x = 5,974,053,264/36,045
  6. Step 6: Final answer
    x = 165,738.75

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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.