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Finding the Third Proportional to 77,716.13 and 120,009.94

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Solution

The third proportional to 77,716.13 and 120,009.94 is: 185,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,716.13 : 120,009.94 = 120,009.94 : x
  2. Step 2: Convert to fraction form
    77,716.13/120,009.94 = 120,009.94/x
  3. Step 3: Cross multiply
    77,716.13x = 120,009.94 × 120,009.94
  4. Step 4: Simplify right side
    77,716.13x = 14,402,385,098.75
  5. Step 5: Solve for x
    x = 14,402,385,098.75/77,716.13
  6. Step 6: Final answer
    x = 185,320.42

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