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Finding the Third Proportional to 78,071.34 and 119,191.50

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Solution

The third proportional to 78,071.34 and 119,191.50 is: 181,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,071.34 : 119,191.50 = 119,191.50 : x
  2. Step 2: Convert to fraction form
    78,071.34/119,191.50 = 119,191.50/x
  3. Step 3: Cross multiply
    78,071.34x = 119,191.50 × 119,191.50
  4. Step 4: Simplify right side
    78,071.34x = 14,206,613,672.25
  5. Step 5: Solve for x
    x = 14,206,613,672.25/78,071.34
  6. Step 6: Final answer
    x = 181,969.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.