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Finding the Third Proportional to 137,013 and 214,986

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Solution

The third proportional to 137,013 and 214,986 is: 337,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,013 : 214,986 = 214,986 : x
  2. Step 2: Convert to fraction form
    137,013/214,986 = 214,986/x
  3. Step 3: Cross multiply
    137,013x = 214,986 × 214,986
  4. Step 4: Simplify right side
    137,013x = 46,218,980,196
  5. Step 5: Solve for x
    x = 46,218,980,196/137,013
  6. Step 6: Final answer
    x = 337,332.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.