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Finding the Third Proportional to 62,341 and 137,807

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Solution

The third proportional to 62,341 and 137,807 is: 304,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,341 : 137,807 = 137,807 : x
  2. Step 2: Convert to fraction form
    62,341/137,807 = 137,807/x
  3. Step 3: Cross multiply
    62,341x = 137,807 × 137,807
  4. Step 4: Simplify right side
    62,341x = 18,990,769,249
  5. Step 5: Solve for x
    x = 18,990,769,249/62,341
  6. Step 6: Final answer
    x = 304,627.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.