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Finding the Third Proportional to 37,101 and 81,207

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Solution

The third proportional to 37,101 and 81,207 is: 177,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101 : 81,207 = 81,207 : x
  2. Step 2: Convert to fraction form
    37,101/81,207 = 81,207/x
  3. Step 3: Cross multiply
    37,101x = 81,207 × 81,207
  4. Step 4: Simplify right side
    37,101x = 6,594,576,849
  5. Step 5: Solve for x
    x = 6,594,576,849/37,101
  6. Step 6: Final answer
    x = 177,746.61

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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.