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Finding the Third Proportional to 76,447.50 and 179,877

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Solution

The third proportional to 76,447.50 and 179,877 is: 423,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,447.50 : 179,877 = 179,877 : x
  2. Step 2: Convert to fraction form
    76,447.50/179,877 = 179,877/x
  3. Step 3: Cross multiply
    76,447.50x = 179,877 × 179,877
  4. Step 4: Simplify right side
    76,447.50x = 32,355,735,129
  5. Step 5: Solve for x
    x = 32,355,735,129/76,447.50
  6. Step 6: Final answer
    x = 423,241.25

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.