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Finding the Third Proportional to 62,837.50 and 136,731

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Solution

The third proportional to 62,837.50 and 136,731 is: 297,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,837.50 : 136,731 = 136,731 : x
  2. Step 2: Convert to fraction form
    62,837.50/136,731 = 136,731/x
  3. Step 3: Cross multiply
    62,837.50x = 136,731 × 136,731
  4. Step 4: Simplify right side
    62,837.50x = 18,695,366,361
  5. Step 5: Solve for x
    x = 18,695,366,361/62,837.50
  6. Step 6: Final answer
    x = 297,519.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.