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Finding the Third Proportional to 73,072 and 99,023.50

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Solution

The third proportional to 73,072 and 99,023.50 is: 134,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,072 : 99,023.50 = 99,023.50 : x
  2. Step 2: Convert to fraction form
    73,072/99,023.50 = 99,023.50/x
  3. Step 3: Cross multiply
    73,072x = 99,023.50 × 99,023.50
  4. Step 4: Simplify right side
    73,072x = 9,805,653,552.25
  5. Step 5: Solve for x
    x = 9,805,653,552.25/73,072
  6. Step 6: Final answer
    x = 134,191.67

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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.