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Finding the Third Proportional to 70,999.88 and 106,682.06

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Solution

The third proportional to 70,999.88 and 106,682.06 is: 160,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,999.88 : 106,682.06 = 106,682.06 : x
  2. Step 2: Convert to fraction form
    70,999.88/106,682.06 = 106,682.06/x
  3. Step 3: Cross multiply
    70,999.88x = 106,682.06 × 106,682.06
  4. Step 4: Simplify right side
    70,999.88x = 11,381,062,459.25
  5. Step 5: Solve for x
    x = 11,381,062,459.25/70,999.88
  6. Step 6: Final answer
    x = 160,296.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.