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Finding the Third Proportional to 70,140.50 and 149,042

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Solution

The third proportional to 70,140.50 and 149,042 is: 316,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,140.50 : 149,042 = 149,042 : x
  2. Step 2: Convert to fraction form
    70,140.50/149,042 = 149,042/x
  3. Step 3: Cross multiply
    70,140.50x = 149,042 × 149,042
  4. Step 4: Simplify right side
    70,140.50x = 22,213,517,764
  5. Step 5: Solve for x
    x = 22,213,517,764/70,140.50
  6. Step 6: Final answer
    x = 316,700.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.