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Finding the Third Proportional to 75,999 and 164,884.50

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Solution

The third proportional to 75,999 and 164,884.50 is: 357,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999 : 164,884.50 = 164,884.50 : x
  2. Step 2: Convert to fraction form
    75,999/164,884.50 = 164,884.50/x
  3. Step 3: Cross multiply
    75,999x = 164,884.50 × 164,884.50
  4. Step 4: Simplify right side
    75,999x = 27,186,898,340.25
  5. Step 5: Solve for x
    x = 27,186,898,340.25/75,999
  6. Step 6: Final answer
    x = 357,727.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.