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Finding the Third Proportional to 75,893 and 117,262

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Solution

The third proportional to 75,893 and 117,262 is: 181,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,893 : 117,262 = 117,262 : x
  2. Step 2: Convert to fraction form
    75,893/117,262 = 117,262/x
  3. Step 3: Cross multiply
    75,893x = 117,262 × 117,262
  4. Step 4: Simplify right side
    75,893x = 13,750,376,644
  5. Step 5: Solve for x
    x = 13,750,376,644/75,893
  6. Step 6: Final answer
    x = 181,181.09

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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.