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Finding the Third Proportional to 91,707.19 and 140,977.97

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Solution

The third proportional to 91,707.19 and 140,977.97 is: 216,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,707.19 : 140,977.97 = 140,977.97 : x
  2. Step 2: Convert to fraction form
    91,707.19/140,977.97 = 140,977.97/x
  3. Step 3: Cross multiply
    91,707.19x = 140,977.97 × 140,977.97
  4. Step 4: Simplify right side
    91,707.19x = 19,874,787,672.88
  5. Step 5: Solve for x
    x = 19,874,787,672.88/91,707.19
  6. Step 6: Final answer
    x = 216,720.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.