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Finding the Third Proportional to 91,372 and 143,214

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Solution

The third proportional to 91,372 and 143,214 is: 224,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,372 : 143,214 = 143,214 : x
  2. Step 2: Convert to fraction form
    91,372/143,214 = 143,214/x
  3. Step 3: Cross multiply
    91,372x = 143,214 × 143,214
  4. Step 4: Simplify right side
    91,372x = 20,510,249,796
  5. Step 5: Solve for x
    x = 20,510,249,796/91,372
  6. Step 6: Final answer
    x = 224,469.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.