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Finding the Third Proportional to 90,396 and 133,748.72

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Solution

The third proportional to 90,396 and 133,748.72 is: 197,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,396 : 133,748.72 = 133,748.72 : x
  2. Step 2: Convert to fraction form
    90,396/133,748.72 = 133,748.72/x
  3. Step 3: Cross multiply
    90,396x = 133,748.72 × 133,748.72
  4. Step 4: Simplify right side
    90,396x = 17,888,719,767.27
  5. Step 5: Solve for x
    x = 17,888,719,767.27/90,396
  6. Step 6: Final answer
    x = 197,892.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.