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Finding the Third Proportional to 71,297.72 and 155,011.22

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Solution

The third proportional to 71,297.72 and 155,011.22 is: 337,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,297.72 : 155,011.22 = 155,011.22 : x
  2. Step 2: Convert to fraction form
    71,297.72/155,011.22 = 155,011.22/x
  3. Step 3: Cross multiply
    71,297.72x = 155,011.22 × 155,011.22
  4. Step 4: Simplify right side
    71,297.72x = 24,028,477,938.36
  5. Step 5: Solve for x
    x = 24,028,477,938.36/71,297.72
  6. Step 6: Final answer
    x = 337,016.08

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