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Finding the Third Proportional to 91,884 and 141,960

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Solution

The third proportional to 91,884 and 141,960 is: 219,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,884 : 141,960 = 141,960 : x
  2. Step 2: Convert to fraction form
    91,884/141,960 = 141,960/x
  3. Step 3: Cross multiply
    91,884x = 141,960 × 141,960
  4. Step 4: Simplify right side
    91,884x = 20,152,641,600
  5. Step 5: Solve for x
    x = 20,152,641,600/91,884
  6. Step 6: Final answer
    x = 219,326.99

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