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Finding the Third Proportional to 37,076 and 79,912

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Solution

The third proportional to 37,076 and 79,912 is: 172,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,076 : 79,912 = 79,912 : x
  2. Step 2: Convert to fraction form
    37,076/79,912 = 79,912/x
  3. Step 3: Cross multiply
    37,076x = 79,912 × 79,912
  4. Step 4: Simplify right side
    37,076x = 6,385,927,744
  5. Step 5: Solve for x
    x = 6,385,927,744/37,076
  6. Step 6: Final answer
    x = 172,238.85

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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.