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Finding the Third Proportional to 36,049 and 77,080

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Solution

The third proportional to 36,049 and 77,080 is: 164,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,049 : 77,080 = 77,080 : x
  2. Step 2: Convert to fraction form
    36,049/77,080 = 77,080/x
  3. Step 3: Cross multiply
    36,049x = 77,080 × 77,080
  4. Step 4: Simplify right side
    36,049x = 5,941,326,400
  5. Step 5: Solve for x
    x = 5,941,326,400/36,049
  6. Step 6: Final answer
    x = 164,812.52

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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.