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Finding the Third Proportional to 78,780.94 and 119,109.38

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Solution

The third proportional to 78,780.94 and 119,109.38 is: 180,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,780.94 : 119,109.38 = 119,109.38 : x
  2. Step 2: Convert to fraction form
    78,780.94/119,109.38 = 119,109.38/x
  3. Step 3: Cross multiply
    78,780.94x = 119,109.38 × 119,109.38
  4. Step 4: Simplify right side
    78,780.94x = 14,187,043,212.89
  5. Step 5: Solve for x
    x = 14,187,043,212.89/78,780.94
  6. Step 6: Final answer
    x = 180,082.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.