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Finding the Third Proportional to 64,052.25 and 96,284.25

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Solution

The third proportional to 64,052.25 and 96,284.25 is: 144,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,052.25 : 96,284.25 = 96,284.25 : x
  2. Step 2: Convert to fraction form
    64,052.25/96,284.25 = 96,284.25/x
  3. Step 3: Cross multiply
    64,052.25x = 96,284.25 × 96,284.25
  4. Step 4: Simplify right side
    64,052.25x = 9,270,656,798.06
  5. Step 5: Solve for x
    x = 9,270,656,798.06/64,052.25
  6. Step 6: Final answer
    x = 144,735.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.