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Finding the Third Proportional to 64,257.75 and 96,008.63

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Solution

The third proportional to 64,257.75 and 96,008.63 is: 143,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,257.75 : 96,008.63 = 96,008.63 : x
  2. Step 2: Convert to fraction form
    64,257.75/96,008.63 = 96,008.63/x
  3. Step 3: Cross multiply
    64,257.75x = 96,008.63 × 96,008.63
  4. Step 4: Simplify right side
    64,257.75x = 9,217,656,074.39
  5. Step 5: Solve for x
    x = 9,217,656,074.39/64,257.75
  6. Step 6: Final answer
    x = 143,448.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.