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Finding the Third Proportional to 54,734.63 and 82,102.78

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Solution

The third proportional to 54,734.63 and 82,102.78 is: 123,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,734.63 : 82,102.78 = 82,102.78 : x
  2. Step 2: Convert to fraction form
    54,734.63/82,102.78 = 82,102.78/x
  3. Step 3: Cross multiply
    54,734.63x = 82,102.78 × 82,102.78
  4. Step 4: Simplify right side
    54,734.63x = 6,740,866,688.99
  5. Step 5: Solve for x
    x = 6,740,866,688.99/54,734.63
  6. Step 6: Final answer
    x = 123,155.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.