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Finding the Third Proportional to 70,473 and 93,949.50

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Solution

The third proportional to 70,473 and 93,949.50 is: 125,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,473 : 93,949.50 = 93,949.50 : x
  2. Step 2: Convert to fraction form
    70,473/93,949.50 = 93,949.50/x
  3. Step 3: Cross multiply
    70,473x = 93,949.50 × 93,949.50
  4. Step 4: Simplify right side
    70,473x = 8,826,508,550.25
  5. Step 5: Solve for x
    x = 8,826,508,550.25/70,473
  6. Step 6: Final answer
    x = 125,246.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.