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Finding the Third Proportional to 75,356 and 117,586

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Solution

The third proportional to 75,356 and 117,586 is: 183,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,356 : 117,586 = 117,586 : x
  2. Step 2: Convert to fraction form
    75,356/117,586 = 117,586/x
  3. Step 3: Cross multiply
    75,356x = 117,586 × 117,586
  4. Step 4: Simplify right side
    75,356x = 13,826,467,396
  5. Step 5: Solve for x
    x = 13,826,467,396/75,356
  6. Step 6: Final answer
    x = 183,481.97

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.