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Finding the Third Proportional to 137,060 and 199,756

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Solution

The third proportional to 137,060 and 199,756 is: 291,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,060 : 199,756 = 199,756 : x
  2. Step 2: Convert to fraction form
    137,060/199,756 = 199,756/x
  3. Step 3: Cross multiply
    137,060x = 199,756 × 199,756
  4. Step 4: Simplify right side
    137,060x = 39,902,459,536
  5. Step 5: Solve for x
    x = 39,902,459,536/137,060
  6. Step 6: Final answer
    x = 291,131.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.