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Finding the Third Proportional to 62,052 and 137,226

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Solution

The third proportional to 62,052 and 137,226 is: 303,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,052 : 137,226 = 137,226 : x
  2. Step 2: Convert to fraction form
    62,052/137,226 = 137,226/x
  3. Step 3: Cross multiply
    62,052x = 137,226 × 137,226
  4. Step 4: Simplify right side
    62,052x = 18,830,975,076
  5. Step 5: Solve for x
    x = 18,830,975,076/62,052
  6. Step 6: Final answer
    x = 303,470.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.