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Finding the Third Proportional to 70,647.50 and 99,012.25

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Solution

The third proportional to 70,647.50 and 99,012.25 is: 138,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,647.50 : 99,012.25 = 99,012.25 : x
  2. Step 2: Convert to fraction form
    70,647.50/99,012.25 = 99,012.25/x
  3. Step 3: Cross multiply
    70,647.50x = 99,012.25 × 99,012.25
  4. Step 4: Simplify right side
    70,647.50x = 9,803,425,650.06
  5. Step 5: Solve for x
    x = 9,803,425,650.06/70,647.50
  6. Step 6: Final answer
    x = 138,765.36

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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.