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Finding the Third Proportional to 82,230 and 176,121

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Solution

The third proportional to 82,230 and 176,121 is: 377,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,230 : 176,121 = 176,121 : x
  2. Step 2: Convert to fraction form
    82,230/176,121 = 176,121/x
  3. Step 3: Cross multiply
    82,230x = 176,121 × 176,121
  4. Step 4: Simplify right side
    82,230x = 31,018,606,641
  5. Step 5: Solve for x
    x = 31,018,606,641/82,230
  6. Step 6: Final answer
    x = 377,217.64

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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.