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Finding the Third Proportional to 64,262.50 and 96,015.75

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Solution

The third proportional to 64,262.50 and 96,015.75 is: 143,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,262.50 : 96,015.75 = 96,015.75 : x
  2. Step 2: Convert to fraction form
    64,262.50/96,015.75 = 96,015.75/x
  3. Step 3: Cross multiply
    64,262.50x = 96,015.75 × 96,015.75
  4. Step 4: Simplify right side
    64,262.50x = 9,219,024,248.06
  5. Step 5: Solve for x
    x = 9,219,024,248.06/64,262.50
  6. Step 6: Final answer
    x = 143,458.85

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Why These Related Problems?

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