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Finding the Third Proportional to 91,765.50 and 135,942

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Solution

The third proportional to 91,765.50 and 135,942 is: 201,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,765.50 : 135,942 = 135,942 : x
  2. Step 2: Convert to fraction form
    91,765.50/135,942 = 135,942/x
  3. Step 3: Cross multiply
    91,765.50x = 135,942 × 135,942
  4. Step 4: Simplify right side
    91,765.50x = 18,480,227,364
  5. Step 5: Solve for x
    x = 18,480,227,364/91,765.50
  6. Step 6: Final answer
    x = 201,385.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.