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Finding the Third Proportional to 133,325 and 187,513

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Solution

The third proportional to 133,325 and 187,513 is: 263,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,325 : 187,513 = 187,513 : x
  2. Step 2: Convert to fraction form
    133,325/187,513 = 187,513/x
  3. Step 3: Cross multiply
    133,325x = 187,513 × 187,513
  4. Step 4: Simplify right side
    133,325x = 35,161,125,169
  5. Step 5: Solve for x
    x = 35,161,125,169/133,325
  6. Step 6: Final answer
    x = 263,724.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.