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Finding the Third Proportional to 77,245.31 and 119,543.34

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Solution

The third proportional to 77,245.31 and 119,543.34 is: 185,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,245.31 : 119,543.34 = 119,543.34 : x
  2. Step 2: Convert to fraction form
    77,245.31/119,543.34 = 119,543.34/x
  3. Step 3: Cross multiply
    77,245.31x = 119,543.34 × 119,543.34
  4. Step 4: Simplify right side
    77,245.31x = 14,290,611,034.93
  5. Step 5: Solve for x
    x = 14,290,611,034.93/77,245.31
  6. Step 6: Final answer
    x = 185,002.95

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