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Finding the Third Proportional to 91,742.75 and 189,778

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Solution

The third proportional to 91,742.75 and 189,778 is: 392,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,742.75 : 189,778 = 189,778 : x
  2. Step 2: Convert to fraction form
    91,742.75/189,778 = 189,778/x
  3. Step 3: Cross multiply
    91,742.75x = 189,778 × 189,778
  4. Step 4: Simplify right side
    91,742.75x = 36,015,689,284
  5. Step 5: Solve for x
    x = 36,015,689,284/91,742.75
  6. Step 6: Final answer
    x = 392,572.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.