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Finding the Third Proportional to 62,370 and 137,193.75

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Solution

The third proportional to 62,370 and 137,193.75 is: 301,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,370 : 137,193.75 = 137,193.75 : x
  2. Step 2: Convert to fraction form
    62,370/137,193.75 = 137,193.75/x
  3. Step 3: Cross multiply
    62,370x = 137,193.75 × 137,193.75
  4. Step 4: Simplify right side
    62,370x = 18,822,125,039.06
  5. Step 5: Solve for x
    x = 18,822,125,039.06/62,370
  6. Step 6: Final answer
    x = 301,781.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.