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Finding the Third Proportional to 64,708 and 96,966

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Solution

The third proportional to 64,708 and 96,966 is: 145,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,708 : 96,966 = 96,966 : x
  2. Step 2: Convert to fraction form
    64,708/96,966 = 96,966/x
  3. Step 3: Cross multiply
    64,708x = 96,966 × 96,966
  4. Step 4: Simplify right side
    64,708x = 9,402,405,156
  5. Step 5: Solve for x
    x = 9,402,405,156/64,708
  6. Step 6: Final answer
    x = 145,305.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.