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Finding the Third Proportional to 35,219.81 and 78,310.55

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Solution

The third proportional to 35,219.81 and 78,310.55 is: 174,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,219.81 : 78,310.55 = 78,310.55 : x
  2. Step 2: Convert to fraction form
    35,219.81/78,310.55 = 78,310.55/x
  3. Step 3: Cross multiply
    35,219.81x = 78,310.55 × 78,310.55
  4. Step 4: Simplify right side
    35,219.81x = 6,132,541,751.86
  5. Step 5: Solve for x
    x = 6,132,541,751.86/35,219.81
  6. Step 6: Final answer
    x = 174,121.93

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.