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Finding the Third Proportional to 84,240.75 and 123,066.75

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Solution

The third proportional to 84,240.75 and 123,066.75 is: 179,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,240.75 : 123,066.75 = 123,066.75 : x
  2. Step 2: Convert to fraction form
    84,240.75/123,066.75 = 123,066.75/x
  3. Step 3: Cross multiply
    84,240.75x = 123,066.75 × 123,066.75
  4. Step 4: Simplify right side
    84,240.75x = 15,145,424,955.56
  5. Step 5: Solve for x
    x = 15,145,424,955.56/84,240.75
  6. Step 6: Final answer
    x = 179,787.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.