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Finding the Third Proportional to 106,040 and 149,840

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Solution

The third proportional to 106,040 and 149,840 is: 211,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,040 : 149,840 = 149,840 : x
  2. Step 2: Convert to fraction form
    106,040/149,840 = 149,840/x
  3. Step 3: Cross multiply
    106,040x = 149,840 × 149,840
  4. Step 4: Simplify right side
    106,040x = 22,452,025,600
  5. Step 5: Solve for x
    x = 22,452,025,600/106,040
  6. Step 6: Final answer
    x = 211,731.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.