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Finding the Third Proportional to 82,169 and 124,146

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Solution

The third proportional to 82,169 and 124,146 is: 187,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,169 : 124,146 = 124,146 : x
  2. Step 2: Convert to fraction form
    82,169/124,146 = 124,146/x
  3. Step 3: Cross multiply
    82,169x = 124,146 × 124,146
  4. Step 4: Simplify right side
    82,169x = 15,412,229,316
  5. Step 5: Solve for x
    x = 15,412,229,316/82,169
  6. Step 6: Final answer
    x = 187,567.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.