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Finding the Third Proportional to 61,863.75 and 137,943

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Solution

The third proportional to 61,863.75 and 137,943 is: 307,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,863.75 : 137,943 = 137,943 : x
  2. Step 2: Convert to fraction form
    61,863.75/137,943 = 137,943/x
  3. Step 3: Cross multiply
    61,863.75x = 137,943 × 137,943
  4. Step 4: Simplify right side
    61,863.75x = 19,028,271,249
  5. Step 5: Solve for x
    x = 19,028,271,249/61,863.75
  6. Step 6: Final answer
    x = 307,583.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.