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Finding the Third Proportional to 82,230 and 176,124

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Solution

The third proportional to 82,230 and 176,124 is: 377,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,230 : 176,124 = 176,124 : x
  2. Step 2: Convert to fraction form
    82,230/176,124 = 176,124/x
  3. Step 3: Cross multiply
    82,230x = 176,124 × 176,124
  4. Step 4: Simplify right side
    82,230x = 31,019,663,376
  5. Step 5: Solve for x
    x = 31,019,663,376/82,230
  6. Step 6: Final answer
    x = 377,230.49

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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.