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Finding the Third Proportional to 73,197 and 99,427.50

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Solution

The third proportional to 73,197 and 99,427.50 is: 135,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,197 : 99,427.50 = 99,427.50 : x
  2. Step 2: Convert to fraction form
    73,197/99,427.50 = 99,427.50/x
  3. Step 3: Cross multiply
    73,197x = 99,427.50 × 99,427.50
  4. Step 4: Simplify right side
    73,197x = 9,885,827,756.25
  5. Step 5: Solve for x
    x = 9,885,827,756.25/73,197
  6. Step 6: Final answer
    x = 135,057.83

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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.