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Finding the Third Proportional to 91,818 and 141,878

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Solution

The third proportional to 91,818 and 141,878 is: 219,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,818 : 141,878 = 141,878 : x
  2. Step 2: Convert to fraction form
    91,818/141,878 = 141,878/x
  3. Step 3: Cross multiply
    91,818x = 141,878 × 141,878
  4. Step 4: Simplify right side
    91,818x = 20,129,366,884
  5. Step 5: Solve for x
    x = 20,129,366,884/91,818
  6. Step 6: Final answer
    x = 219,231.16

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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.