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Finding the Third Proportional to 137,058.75 and 205,021.13

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Solution

The third proportional to 137,058.75 and 205,021.13 is: 306,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,058.75 : 205,021.13 = 205,021.13 : x
  2. Step 2: Convert to fraction form
    137,058.75/205,021.13 = 205,021.13/x
  3. Step 3: Cross multiply
    137,058.75x = 205,021.13 × 205,021.13
  4. Step 4: Simplify right side
    137,058.75x = 42,033,661,696.27
  5. Step 5: Solve for x
    x = 42,033,661,696.27/137,058.75
  6. Step 6: Final answer
    x = 306,683.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.