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Finding the Third Proportional to 75,996 and 164,877.75

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Solution

The third proportional to 75,996 and 164,877.75 is: 357,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,996 : 164,877.75 = 164,877.75 : x
  2. Step 2: Convert to fraction form
    75,996/164,877.75 = 164,877.75/x
  3. Step 3: Cross multiply
    75,996x = 164,877.75 × 164,877.75
  4. Step 4: Simplify right side
    75,996x = 27,184,672,445.06
  5. Step 5: Solve for x
    x = 27,184,672,445.06/75,996
  6. Step 6: Final answer
    x = 357,711.89

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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.