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Finding the Third Proportional to 62,242 and 136,576

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Solution

The third proportional to 62,242 and 136,576 is: 299,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,242 : 136,576 = 136,576 : x
  2. Step 2: Convert to fraction form
    62,242/136,576 = 136,576/x
  3. Step 3: Cross multiply
    62,242x = 136,576 × 136,576
  4. Step 4: Simplify right side
    62,242x = 18,653,003,776
  5. Step 5: Solve for x
    x = 18,653,003,776/62,242
  6. Step 6: Final answer
    x = 299,685.16

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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.