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Finding the Third Proportional to 101,038 and 168,389

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Solution

The third proportional to 101,038 and 168,389 is: 280,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,038 : 168,389 = 168,389 : x
  2. Step 2: Convert to fraction form
    101,038/168,389 = 168,389/x
  3. Step 3: Cross multiply
    101,038x = 168,389 × 168,389
  4. Step 4: Simplify right side
    101,038x = 28,354,855,321
  5. Step 5: Solve for x
    x = 28,354,855,321/101,038
  6. Step 6: Final answer
    x = 280,635.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.