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Finding the Third Proportional to 91,380 and 141,218.25

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Solution

The third proportional to 91,380 and 141,218.25 is: 218,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,380 : 141,218.25 = 141,218.25 : x
  2. Step 2: Convert to fraction form
    91,380/141,218.25 = 141,218.25/x
  3. Step 3: Cross multiply
    91,380x = 141,218.25 × 141,218.25
  4. Step 4: Simplify right side
    91,380x = 19,942,594,133.06
  5. Step 5: Solve for x
    x = 19,942,594,133.06/91,380
  6. Step 6: Final answer
    x = 218,238.06

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