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Finding the Third Proportional to 91,417.50 and 141,270.75

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Solution

The third proportional to 91,417.50 and 141,270.75 is: 218,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,417.50 : 141,270.75 = 141,270.75 : x
  2. Step 2: Convert to fraction form
    91,417.50/141,270.75 = 141,270.75/x
  3. Step 3: Cross multiply
    91,417.50x = 141,270.75 × 141,270.75
  4. Step 4: Simplify right side
    91,417.50x = 19,957,424,805.56
  5. Step 5: Solve for x
    x = 19,957,424,805.56/91,417.50
  6. Step 6: Final answer
    x = 218,310.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.