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Finding the Third Proportional to 37,080 and 78,768

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Solution

The third proportional to 37,080 and 78,768 is: 167,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,080 : 78,768 = 78,768 : x
  2. Step 2: Convert to fraction form
    37,080/78,768 = 78,768/x
  3. Step 3: Cross multiply
    37,080x = 78,768 × 78,768
  4. Step 4: Simplify right side
    37,080x = 6,204,397,824
  5. Step 5: Solve for x
    x = 6,204,397,824/37,080
  6. Step 6: Final answer
    x = 167,324.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.