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Finding the Third Proportional to 85,326 and 185,124

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Solution

The third proportional to 85,326 and 185,124 is: 401,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,326 : 185,124 = 185,124 : x
  2. Step 2: Convert to fraction form
    85,326/185,124 = 185,124/x
  3. Step 3: Cross multiply
    85,326x = 185,124 × 185,124
  4. Step 4: Simplify right side
    85,326x = 34,270,895,376
  5. Step 5: Solve for x
    x = 34,270,895,376/85,326
  6. Step 6: Final answer
    x = 401,646.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.