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Finding the Third Proportional to 129,593 and 202,854

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Solution

The third proportional to 129,593 and 202,854 is: 317,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,593 : 202,854 = 202,854 : x
  2. Step 2: Convert to fraction form
    129,593/202,854 = 202,854/x
  3. Step 3: Cross multiply
    129,593x = 202,854 × 202,854
  4. Step 4: Simplify right side
    129,593x = 41,149,745,316
  5. Step 5: Solve for x
    x = 41,149,745,316/129,593
  6. Step 6: Final answer
    x = 317,530.62

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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.