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Finding the Third Proportional to 54,495 and 73,966.50

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Solution

The third proportional to 54,495 and 73,966.50 is: 100,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,495 : 73,966.50 = 73,966.50 : x
  2. Step 2: Convert to fraction form
    54,495/73,966.50 = 73,966.50/x
  3. Step 3: Cross multiply
    54,495x = 73,966.50 × 73,966.50
  4. Step 4: Simplify right side
    54,495x = 5,471,043,122.25
  5. Step 5: Solve for x
    x = 5,471,043,122.25/54,495
  6. Step 6: Final answer
    x = 100,395.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.