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Finding the Third Proportional to 68,662.88 and 106,261.31

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Solution

The third proportional to 68,662.88 and 106,261.31 is: 164,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,662.88 : 106,261.31 = 106,261.31 : x
  2. Step 2: Convert to fraction form
    68,662.88/106,261.31 = 106,261.31/x
  3. Step 3: Cross multiply
    68,662.88x = 106,261.31 × 106,261.31
  4. Step 4: Simplify right side
    68,662.88x = 11,291,466,534.22
  5. Step 5: Solve for x
    x = 11,291,466,534.22/68,662.88
  6. Step 6: Final answer
    x = 164,447.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.