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Finding the Third Proportional to 75,712 and 159,265

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Solution

The third proportional to 75,712 and 159,265 is: 335,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712 : 159,265 = 159,265 : x
  2. Step 2: Convert to fraction form
    75,712/159,265 = 159,265/x
  3. Step 3: Cross multiply
    75,712x = 159,265 × 159,265
  4. Step 4: Simplify right side
    75,712x = 25,365,340,225
  5. Step 5: Solve for x
    x = 25,365,340,225/75,712
  6. Step 6: Final answer
    x = 335,024.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.