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Finding the Third Proportional to 37,044 and 81,000

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Solution

The third proportional to 37,044 and 81,000 is: 177,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,044 : 81,000 = 81,000 : x
  2. Step 2: Convert to fraction form
    37,044/81,000 = 81,000/x
  3. Step 3: Cross multiply
    37,044x = 81,000 × 81,000
  4. Step 4: Simplify right side
    37,044x = 6,561,000,000
  5. Step 5: Solve for x
    x = 6,561,000,000/37,044
  6. Step 6: Final answer
    x = 177,113.70

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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.