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Finding the Third Proportional to 37,098 and 81,270

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Solution

The third proportional to 37,098 and 81,270 is: 178,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 81,270 = 81,270 : x
  2. Step 2: Convert to fraction form
    37,098/81,270 = 81,270/x
  3. Step 3: Cross multiply
    37,098x = 81,270 × 81,270
  4. Step 4: Simplify right side
    37,098x = 6,604,812,900
  5. Step 5: Solve for x
    x = 6,604,812,900/37,098
  6. Step 6: Final answer
    x = 178,036.90

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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.