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Finding the Third Proportional to 91,086 and 197,724

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Solution

The third proportional to 91,086 and 197,724 is: 429,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,086 : 197,724 = 197,724 : x
  2. Step 2: Convert to fraction form
    91,086/197,724 = 197,724/x
  3. Step 3: Cross multiply
    91,086x = 197,724 × 197,724
  4. Step 4: Simplify right side
    91,086x = 39,094,780,176
  5. Step 5: Solve for x
    x = 39,094,780,176/91,086
  6. Step 6: Final answer
    x = 429,207.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.