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Finding the Third Proportional to 62,916 and 133,119.38

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Solution

The third proportional to 62,916 and 133,119.38 is: 281,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,916 : 133,119.38 = 133,119.38 : x
  2. Step 2: Convert to fraction form
    62,916/133,119.38 = 133,119.38/x
  3. Step 3: Cross multiply
    62,916x = 133,119.38 × 133,119.38
  4. Step 4: Simplify right side
    62,916x = 17,720,768,000.39
  5. Step 5: Solve for x
    x = 17,720,768,000.39/62,916
  6. Step 6: Final answer
    x = 281,657.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.