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Finding the Third Proportional to 73,455 and 99,649.50

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Solution

The third proportional to 73,455 and 99,649.50 is: 135,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,455 : 99,649.50 = 99,649.50 : x
  2. Step 2: Convert to fraction form
    73,455/99,649.50 = 99,649.50/x
  3. Step 3: Cross multiply
    73,455x = 99,649.50 × 99,649.50
  4. Step 4: Simplify right side
    73,455x = 9,930,022,850.25
  5. Step 5: Solve for x
    x = 9,930,022,850.25/73,455
  6. Step 6: Final answer
    x = 135,185.12

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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.