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Finding the Third Proportional to 37,164 and 80,160

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Solution

The third proportional to 37,164 and 80,160 is: 172,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,164 : 80,160 = 80,160 : x
  2. Step 2: Convert to fraction form
    37,164/80,160 = 80,160/x
  3. Step 3: Cross multiply
    37,164x = 80,160 × 80,160
  4. Step 4: Simplify right side
    37,164x = 6,425,625,600
  5. Step 5: Solve for x
    x = 6,425,625,600/37,164
  6. Step 6: Final answer
    x = 172,899.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.