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Finding the Third Proportional to 102,777 and 159,052.50

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Solution

The third proportional to 102,777 and 159,052.50 is: 246,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,777 : 159,052.50 = 159,052.50 : x
  2. Step 2: Convert to fraction form
    102,777/159,052.50 = 159,052.50/x
  3. Step 3: Cross multiply
    102,777x = 159,052.50 × 159,052.50
  4. Step 4: Simplify right side
    102,777x = 25,297,697,756.25
  5. Step 5: Solve for x
    x = 25,297,697,756.25/102,777
  6. Step 6: Final answer
    x = 246,141.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.