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Finding the Third Proportional to 34,699.50 and 75,226.50

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Solution

The third proportional to 34,699.50 and 75,226.50 is: 163,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,699.50 : 75,226.50 = 75,226.50 : x
  2. Step 2: Convert to fraction form
    34,699.50/75,226.50 = 75,226.50/x
  3. Step 3: Cross multiply
    34,699.50x = 75,226.50 × 75,226.50
  4. Step 4: Simplify right side
    34,699.50x = 5,659,026,302.25
  5. Step 5: Solve for x
    x = 5,659,026,302.25/34,699.50
  6. Step 6: Final answer
    x = 163,086.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.