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Finding the Third Proportional to 63,122 and 138,052

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Solution

The third proportional to 63,122 and 138,052 is: 301,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,122 : 138,052 = 138,052 : x
  2. Step 2: Convert to fraction form
    63,122/138,052 = 138,052/x
  3. Step 3: Cross multiply
    63,122x = 138,052 × 138,052
  4. Step 4: Simplify right side
    63,122x = 19,058,354,704
  5. Step 5: Solve for x
    x = 19,058,354,704/63,122
  6. Step 6: Final answer
    x = 301,928.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.