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Finding the Third Proportional to 77,477 and 119,719.50

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Solution

The third proportional to 77,477 and 119,719.50 is: 184,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477 : 119,719.50 = 119,719.50 : x
  2. Step 2: Convert to fraction form
    77,477/119,719.50 = 119,719.50/x
  3. Step 3: Cross multiply
    77,477x = 119,719.50 × 119,719.50
  4. Step 4: Simplify right side
    77,477x = 14,332,758,680.25
  5. Step 5: Solve for x
    x = 14,332,758,680.25/77,477
  6. Step 6: Final answer
    x = 184,993.72

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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.