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Finding the Third Proportional to 96,066 and 150,714

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Solution

The third proportional to 96,066 and 150,714 is: 236,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,066 : 150,714 = 150,714 : x
  2. Step 2: Convert to fraction form
    96,066/150,714 = 150,714/x
  3. Step 3: Cross multiply
    96,066x = 150,714 × 150,714
  4. Step 4: Simplify right side
    96,066x = 22,714,709,796
  5. Step 5: Solve for x
    x = 22,714,709,796/96,066
  6. Step 6: Final answer
    x = 236,449.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.