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Finding the Third Proportional to 131,060 and 199,022

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Solution

The third proportional to 131,060 and 199,022 is: 302,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,060 : 199,022 = 199,022 : x
  2. Step 2: Convert to fraction form
    131,060/199,022 = 199,022/x
  3. Step 3: Cross multiply
    131,060x = 199,022 × 199,022
  4. Step 4: Simplify right side
    131,060x = 39,609,756,484
  5. Step 5: Solve for x
    x = 39,609,756,484/131,060
  6. Step 6: Final answer
    x = 302,226.13

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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.