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Finding the Third Proportional to 75,616.50 and 102,756.75

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Solution

The third proportional to 75,616.50 and 102,756.75 is: 139,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616.50 : 102,756.75 = 102,756.75 : x
  2. Step 2: Convert to fraction form
    75,616.50/102,756.75 = 102,756.75/x
  3. Step 3: Cross multiply
    75,616.50x = 102,756.75 × 102,756.75
  4. Step 4: Simplify right side
    75,616.50x = 10,558,949,670.56
  5. Step 5: Solve for x
    x = 10,558,949,670.56/75,616.50
  6. Step 6: Final answer
    x = 139,638.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.