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Finding the Third Proportional to 36,597 and 80,280

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Solution

The third proportional to 36,597 and 80,280 is: 176,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,597 : 80,280 = 80,280 : x
  2. Step 2: Convert to fraction form
    36,597/80,280 = 80,280/x
  3. Step 3: Cross multiply
    36,597x = 80,280 × 80,280
  4. Step 4: Simplify right side
    36,597x = 6,444,878,400
  5. Step 5: Solve for x
    x = 6,444,878,400/36,597
  6. Step 6: Final answer
    x = 176,104.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.