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Finding the Third Proportional to 102,342 and 143,914

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Solution

The third proportional to 102,342 and 143,914 is: 202,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,342 : 143,914 = 143,914 : x
  2. Step 2: Convert to fraction form
    102,342/143,914 = 143,914/x
  3. Step 3: Cross multiply
    102,342x = 143,914 × 143,914
  4. Step 4: Simplify right side
    102,342x = 20,711,239,396
  5. Step 5: Solve for x
    x = 20,711,239,396/102,342
  6. Step 6: Final answer
    x = 202,372.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.