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Finding the Third Proportional to 64,761.75 and 152,659.69

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Solution

The third proportional to 64,761.75 and 152,659.69 is: 359,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,761.75 : 152,659.69 = 152,659.69 : x
  2. Step 2: Convert to fraction form
    64,761.75/152,659.69 = 152,659.69/x
  3. Step 3: Cross multiply
    64,761.75x = 152,659.69 × 152,659.69
  4. Step 4: Simplify right side
    64,761.75x = 23,304,980,187.60
  5. Step 5: Solve for x
    x = 23,304,980,187.60/64,761.75
  6. Step 6: Final answer
    x = 359,857.17

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.