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Finding the Third Proportional to 83,302 and 187,513

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Solution

The third proportional to 83,302 and 187,513 is: 422,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302 : 187,513 = 187,513 : x
  2. Step 2: Convert to fraction form
    83,302/187,513 = 187,513/x
  3. Step 3: Cross multiply
    83,302x = 187,513 × 187,513
  4. Step 4: Simplify right side
    83,302x = 35,161,125,169
  5. Step 5: Solve for x
    x = 35,161,125,169/83,302
  6. Step 6: Final answer
    x = 422,092.21

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.