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Finding the Third Proportional to 61,513.50 and 91,949

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Solution

The third proportional to 61,513.50 and 91,949 is: 137,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,513.50 : 91,949 = 91,949 : x
  2. Step 2: Convert to fraction form
    61,513.50/91,949 = 91,949/x
  3. Step 3: Cross multiply
    61,513.50x = 91,949 × 91,949
  4. Step 4: Simplify right side
    61,513.50x = 8,454,618,601
  5. Step 5: Solve for x
    x = 8,454,618,601/61,513.50
  6. Step 6: Final answer
    x = 137,443.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.