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Finding the Third Proportional to 82,792 and 131,155

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Solution

The third proportional to 82,792 and 131,155 is: 207,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,792 : 131,155 = 131,155 : x
  2. Step 2: Convert to fraction form
    82,792/131,155 = 131,155/x
  3. Step 3: Cross multiply
    82,792x = 131,155 × 131,155
  4. Step 4: Simplify right side
    82,792x = 17,201,634,025
  5. Step 5: Solve for x
    x = 17,201,634,025/82,792
  6. Step 6: Final answer
    x = 207,769.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.