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Finding the Third Proportional to 77,451 and 119,110.50

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Solution

The third proportional to 77,451 and 119,110.50 is: 183,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,451 : 119,110.50 = 119,110.50 : x
  2. Step 2: Convert to fraction form
    77,451/119,110.50 = 119,110.50/x
  3. Step 3: Cross multiply
    77,451x = 119,110.50 × 119,110.50
  4. Step 4: Simplify right side
    77,451x = 14,187,311,210.25
  5. Step 5: Solve for x
    x = 14,187,311,210.25/77,451
  6. Step 6: Final answer
    x = 183,177.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.