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Finding the Third Proportional to 64,675.13 and 96,614.44

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Solution

The third proportional to 64,675.13 and 96,614.44 is: 144,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,675.13 : 96,614.44 = 96,614.44 : x
  2. Step 2: Convert to fraction form
    64,675.13/96,614.44 = 96,614.44/x
  3. Step 3: Cross multiply
    64,675.13x = 96,614.44 × 96,614.44
  4. Step 4: Simplify right side
    64,675.13x = 9,334,349,533.44
  5. Step 5: Solve for x
    x = 9,334,349,533.44/64,675.13
  6. Step 6: Final answer
    x = 144,326.73

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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.