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Finding the Third Proportional to 49,537.50 and 107,373

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Solution

The third proportional to 49,537.50 and 107,373 is: 232,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,537.50 : 107,373 = 107,373 : x
  2. Step 2: Convert to fraction form
    49,537.50/107,373 = 107,373/x
  3. Step 3: Cross multiply
    49,537.50x = 107,373 × 107,373
  4. Step 4: Simplify right side
    49,537.50x = 11,528,961,129
  5. Step 5: Solve for x
    x = 11,528,961,129/49,537.50
  6. Step 6: Final answer
    x = 232,731.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.