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Finding the Third Proportional to 95,823 and 137,214

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Solution

The third proportional to 95,823 and 137,214 is: 196,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,823 : 137,214 = 137,214 : x
  2. Step 2: Convert to fraction form
    95,823/137,214 = 137,214/x
  3. Step 3: Cross multiply
    95,823x = 137,214 × 137,214
  4. Step 4: Simplify right side
    95,823x = 18,827,681,796
  5. Step 5: Solve for x
    x = 18,827,681,796/95,823
  6. Step 6: Final answer
    x = 196,483.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.