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Finding the Third Proportional to 71,773.50 and 157,155

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Solution

The third proportional to 71,773.50 and 157,155 is: 344,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,773.50 : 157,155 = 157,155 : x
  2. Step 2: Convert to fraction form
    71,773.50/157,155 = 157,155/x
  3. Step 3: Cross multiply
    71,773.50x = 157,155 × 157,155
  4. Step 4: Simplify right side
    71,773.50x = 24,697,694,025
  5. Step 5: Solve for x
    x = 24,697,694,025/71,773.50
  6. Step 6: Final answer
    x = 344,106.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.