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Finding the Third Proportional to 85,796 and 130,443

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Solution

The third proportional to 85,796 and 130,443 is: 198,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,796 : 130,443 = 130,443 : x
  2. Step 2: Convert to fraction form
    85,796/130,443 = 130,443/x
  3. Step 3: Cross multiply
    85,796x = 130,443 × 130,443
  4. Step 4: Simplify right side
    85,796x = 17,015,376,249
  5. Step 5: Solve for x
    x = 17,015,376,249/85,796
  6. Step 6: Final answer
    x = 198,323.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.