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Finding the Third Proportional to 75,808.13 and 118,914.75

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Solution

The third proportional to 75,808.13 and 118,914.75 is: 186,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,808.13 : 118,914.75 = 118,914.75 : x
  2. Step 2: Convert to fraction form
    75,808.13/118,914.75 = 118,914.75/x
  3. Step 3: Cross multiply
    75,808.13x = 118,914.75 × 118,914.75
  4. Step 4: Simplify right side
    75,808.13x = 14,140,717,767.56
  5. Step 5: Solve for x
    x = 14,140,717,767.56/75,808.13
  6. Step 6: Final answer
    x = 186,533.01

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.