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Finding the Third Proportional to 91,948 and 133,926

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Solution

The third proportional to 91,948 and 133,926 is: 195,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,948 : 133,926 = 133,926 : x
  2. Step 2: Convert to fraction form
    91,948/133,926 = 133,926/x
  3. Step 3: Cross multiply
    91,948x = 133,926 × 133,926
  4. Step 4: Simplify right side
    91,948x = 17,936,173,476
  5. Step 5: Solve for x
    x = 17,936,173,476/91,948
  6. Step 6: Final answer
    x = 195,068.66

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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.