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Finding the Third Proportional to 64,761 and 141,522

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Solution

The third proportional to 64,761 and 141,522 is: 309,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,761 : 141,522 = 141,522 : x
  2. Step 2: Convert to fraction form
    64,761/141,522 = 141,522/x
  3. Step 3: Cross multiply
    64,761x = 141,522 × 141,522
  4. Step 4: Simplify right side
    64,761x = 20,028,476,484
  5. Step 5: Solve for x
    x = 20,028,476,484/64,761
  6. Step 6: Final answer
    x = 309,267.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.