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Finding the Third Proportional to 82,292 and 176,247.75

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Solution

The third proportional to 82,292 and 176,247.75 is: 377,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,292 : 176,247.75 = 176,247.75 : x
  2. Step 2: Convert to fraction form
    82,292/176,247.75 = 176,247.75/x
  3. Step 3: Cross multiply
    82,292x = 176,247.75 × 176,247.75
  4. Step 4: Simplify right side
    82,292x = 31,063,269,380.06
  5. Step 5: Solve for x
    x = 31,063,269,380.06/82,292
  6. Step 6: Final answer
    x = 377,476.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.