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Finding the Third Proportional to 91,808 and 141,161

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Solution

The third proportional to 91,808 and 141,161 is: 217,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,808 : 141,161 = 141,161 : x
  2. Step 2: Convert to fraction form
    91,808/141,161 = 141,161/x
  3. Step 3: Cross multiply
    91,808x = 141,161 × 141,161
  4. Step 4: Simplify right side
    91,808x = 19,926,427,921
  5. Step 5: Solve for x
    x = 19,926,427,921/91,808
  6. Step 6: Final answer
    x = 217,044.57

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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.