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Finding the Third Proportional to 45,431 and 106,118

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Solution

The third proportional to 45,431 and 106,118 is: 247,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,431 : 106,118 = 106,118 : x
  2. Step 2: Convert to fraction form
    45,431/106,118 = 106,118/x
  3. Step 3: Cross multiply
    45,431x = 106,118 × 106,118
  4. Step 4: Simplify right side
    45,431x = 11,261,029,924
  5. Step 5: Solve for x
    x = 11,261,029,924/45,431
  6. Step 6: Final answer
    x = 247,871.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.