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Finding the Third Proportional to 64,617.75 and 95,073.75

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Solution

The third proportional to 64,617.75 and 95,073.75 is: 139,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,617.75 : 95,073.75 = 95,073.75 : x
  2. Step 2: Convert to fraction form
    64,617.75/95,073.75 = 95,073.75/x
  3. Step 3: Cross multiply
    64,617.75x = 95,073.75 × 95,073.75
  4. Step 4: Simplify right side
    64,617.75x = 9,039,017,939.06
  5. Step 5: Solve for x
    x = 9,039,017,939.06/64,617.75
  6. Step 6: Final answer
    x = 139,884.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.