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Finding the Third Proportional to 70,518.50 and 101,894

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Solution

The third proportional to 70,518.50 and 101,894 is: 147,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,518.50 : 101,894 = 101,894 : x
  2. Step 2: Convert to fraction form
    70,518.50/101,894 = 101,894/x
  3. Step 3: Cross multiply
    70,518.50x = 101,894 × 101,894
  4. Step 4: Simplify right side
    70,518.50x = 10,382,387,236
  5. Step 5: Solve for x
    x = 10,382,387,236/70,518.50
  6. Step 6: Final answer
    x = 147,229.27

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.