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Finding the Third Proportional to 62,699 and 137,062

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Solution

The third proportional to 62,699 and 137,062 is: 299,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,699 : 137,062 = 137,062 : x
  2. Step 2: Convert to fraction form
    62,699/137,062 = 137,062/x
  3. Step 3: Cross multiply
    62,699x = 137,062 × 137,062
  4. Step 4: Simplify right side
    62,699x = 18,785,991,844
  5. Step 5: Solve for x
    x = 18,785,991,844/62,699
  6. Step 6: Final answer
    x = 299,621.87

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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.