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Finding the Third Proportional to 68,458.50 and 99,650.25

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Solution

The third proportional to 68,458.50 and 99,650.25 is: 145,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,458.50 : 99,650.25 = 99,650.25 : x
  2. Step 2: Convert to fraction form
    68,458.50/99,650.25 = 99,650.25/x
  3. Step 3: Cross multiply
    68,458.50x = 99,650.25 × 99,650.25
  4. Step 4: Simplify right side
    68,458.50x = 9,930,172,325.06
  5. Step 5: Solve for x
    x = 9,930,172,325.06/68,458.50
  6. Step 6: Final answer
    x = 145,053.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.