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Finding the Third Proportional to 91,926 and 133,750

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Solution

The third proportional to 91,926 and 133,750 is: 194,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,926 : 133,750 = 133,750 : x
  2. Step 2: Convert to fraction form
    91,926/133,750 = 133,750/x
  3. Step 3: Cross multiply
    91,926x = 133,750 × 133,750
  4. Step 4: Simplify right side
    91,926x = 17,889,062,500
  5. Step 5: Solve for x
    x = 17,889,062,500/91,926
  6. Step 6: Final answer
    x = 194,602.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.