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Finding the Third Proportional to 62,224.50 and 136,545

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Solution

The third proportional to 62,224.50 and 136,545 is: 299,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,224.50 : 136,545 = 136,545 : x
  2. Step 2: Convert to fraction form
    62,224.50/136,545 = 136,545/x
  3. Step 3: Cross multiply
    62,224.50x = 136,545 × 136,545
  4. Step 4: Simplify right side
    62,224.50x = 18,644,537,025
  5. Step 5: Solve for x
    x = 18,644,537,025/62,224.50
  6. Step 6: Final answer
    x = 299,633.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.