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Finding the Third Proportional to 129,596 and 202,859

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Solution

The third proportional to 129,596 and 202,859 is: 317,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,596 : 202,859 = 202,859 : x
  2. Step 2: Convert to fraction form
    129,596/202,859 = 202,859/x
  3. Step 3: Cross multiply
    129,596x = 202,859 × 202,859
  4. Step 4: Simplify right side
    129,596x = 41,151,773,881
  5. Step 5: Solve for x
    x = 41,151,773,881/129,596
  6. Step 6: Final answer
    x = 317,538.92

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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.