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Finding the Third Proportional to 137,016 and 214,989.75

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Solution

The third proportional to 137,016 and 214,989.75 is: 337,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,016 : 214,989.75 = 214,989.75 : x
  2. Step 2: Convert to fraction form
    137,016/214,989.75 = 214,989.75/x
  3. Step 3: Cross multiply
    137,016x = 214,989.75 × 214,989.75
  4. Step 4: Simplify right side
    137,016x = 46,220,592,605.06
  5. Step 5: Solve for x
    x = 46,220,592,605.06/137,016
  6. Step 6: Final answer
    x = 337,337.19

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Why These Related Problems?

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