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Finding the Third Proportional to 64,125.75 and 95,829.75

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Solution

The third proportional to 64,125.75 and 95,829.75 is: 143,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,125.75 : 95,829.75 = 95,829.75 : x
  2. Step 2: Convert to fraction form
    64,125.75/95,829.75 = 95,829.75/x
  3. Step 3: Cross multiply
    64,125.75x = 95,829.75 × 95,829.75
  4. Step 4: Simplify right side
    64,125.75x = 9,183,340,985.06
  5. Step 5: Solve for x
    x = 9,183,340,985.06/64,125.75
  6. Step 6: Final answer
    x = 143,208.32

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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.