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Finding the Third Proportional to 65,226.75 and 93,101.25

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Solution

The third proportional to 65,226.75 and 93,101.25 is: 132,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,226.75 : 93,101.25 = 93,101.25 : x
  2. Step 2: Convert to fraction form
    65,226.75/93,101.25 = 93,101.25/x
  3. Step 3: Cross multiply
    65,226.75x = 93,101.25 × 93,101.25
  4. Step 4: Simplify right side
    65,226.75x = 8,667,842,751.56
  5. Step 5: Solve for x
    x = 8,667,842,751.56/65,226.75
  6. Step 6: Final answer
    x = 132,887.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.