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Finding the Third Proportional to 75,961 and 117,923.50

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Solution

The third proportional to 75,961 and 117,923.50 is: 183,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,961 : 117,923.50 = 117,923.50 : x
  2. Step 2: Convert to fraction form
    75,961/117,923.50 = 117,923.50/x
  3. Step 3: Cross multiply
    75,961x = 117,923.50 × 117,923.50
  4. Step 4: Simplify right side
    75,961x = 13,905,951,852.25
  5. Step 5: Solve for x
    x = 13,905,951,852.25/75,961
  6. Step 6: Final answer
    x = 183,066.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.