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Finding the Third Proportional to 64,314.75 and 91,742.75

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Solution

The third proportional to 64,314.75 and 91,742.75 is: 130,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,314.75 : 91,742.75 = 91,742.75 : x
  2. Step 2: Convert to fraction form
    64,314.75/91,742.75 = 91,742.75/x
  3. Step 3: Cross multiply
    64,314.75x = 91,742.75 × 91,742.75
  4. Step 4: Simplify right side
    64,314.75x = 8,416,732,177.56
  5. Step 5: Solve for x
    x = 8,416,732,177.56/64,314.75
  6. Step 6: Final answer
    x = 130,867.84

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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.