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Finding the Third Proportional to 78,895.69 and 110,972.53

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Solution

The third proportional to 78,895.69 and 110,972.53 is: 156,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,895.69 : 110,972.53 = 110,972.53 : x
  2. Step 2: Convert to fraction form
    78,895.69/110,972.53 = 110,972.53/x
  3. Step 3: Cross multiply
    78,895.69x = 110,972.53 × 110,972.53
  4. Step 4: Simplify right side
    78,895.69x = 12,314,902,692.03
  5. Step 5: Solve for x
    x = 12,314,902,692.03/78,895.69
  6. Step 6: Final answer
    x = 156,090.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.