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Finding the Third Proportional to 37,219.78 and 81,130.78

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Solution

The third proportional to 37,219.78 and 81,130.78 is: 176,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,219.78 : 81,130.78 = 81,130.78 : x
  2. Step 2: Convert to fraction form
    37,219.78/81,130.78 = 81,130.78/x
  3. Step 3: Cross multiply
    37,219.78x = 81,130.78 × 81,130.78
  4. Step 4: Simplify right side
    37,219.78x = 6,582,203,666.24
  5. Step 5: Solve for x
    x = 6,582,203,666.24/37,219.78
  6. Step 6: Final answer
    x = 176,846.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.