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Finding the Third Proportional to 62,694 and 137,052

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Solution

The third proportional to 62,694 and 137,052 is: 299,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,694 : 137,052 = 137,052 : x
  2. Step 2: Convert to fraction form
    62,694/137,052 = 137,052/x
  3. Step 3: Cross multiply
    62,694x = 137,052 × 137,052
  4. Step 4: Simplify right side
    62,694x = 18,783,250,704
  5. Step 5: Solve for x
    x = 18,783,250,704/62,694
  6. Step 6: Final answer
    x = 299,602.05

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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.