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Finding the Third Proportional to 70,839 and 99,166.50

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Solution

The third proportional to 70,839 and 99,166.50 is: 138,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,839 : 99,166.50 = 99,166.50 : x
  2. Step 2: Convert to fraction form
    70,839/99,166.50 = 99,166.50/x
  3. Step 3: Cross multiply
    70,839x = 99,166.50 × 99,166.50
  4. Step 4: Simplify right side
    70,839x = 9,833,994,722.25
  5. Step 5: Solve for x
    x = 9,833,994,722.25/70,839
  6. Step 6: Final answer
    x = 138,821.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.