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Finding the Third Proportional to 91,735.75 and 137,175.75

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Solution

The third proportional to 91,735.75 and 137,175.75 is: 205,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,735.75 : 137,175.75 = 137,175.75 : x
  2. Step 2: Convert to fraction form
    91,735.75/137,175.75 = 137,175.75/x
  3. Step 3: Cross multiply
    91,735.75x = 137,175.75 × 137,175.75
  4. Step 4: Simplify right side
    91,735.75x = 18,817,186,388.06
  5. Step 5: Solve for x
    x = 18,817,186,388.06/91,735.75
  6. Step 6: Final answer
    x = 205,123.81

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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.