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Finding the Third Proportional to 137,727 and 291,990

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Solution

The third proportional to 137,727 and 291,990 is: 619,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,727 : 291,990 = 291,990 : x
  2. Step 2: Convert to fraction form
    137,727/291,990 = 291,990/x
  3. Step 3: Cross multiply
    137,727x = 291,990 × 291,990
  4. Step 4: Simplify right side
    137,727x = 85,258,160,100
  5. Step 5: Solve for x
    x = 85,258,160,100/137,727
  6. Step 6: Final answer
    x = 619,037.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.