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Finding the Third Proportional to 69,630.50 and 106,077.75

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Solution

The third proportional to 69,630.50 and 106,077.75 is: 161,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,630.50 : 106,077.75 = 106,077.75 : x
  2. Step 2: Convert to fraction form
    69,630.50/106,077.75 = 106,077.75/x
  3. Step 3: Cross multiply
    69,630.50x = 106,077.75 × 106,077.75
  4. Step 4: Simplify right side
    69,630.50x = 11,252,489,045.06
  5. Step 5: Solve for x
    x = 11,252,489,045.06/69,630.50
  6. Step 6: Final answer
    x = 161,602.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.