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Finding the Third Proportional to 96,314.25 and 127,832.50

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Solution

The third proportional to 96,314.25 and 127,832.50 is: 169,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,314.25 : 127,832.50 = 127,832.50 : x
  2. Step 2: Convert to fraction form
    96,314.25/127,832.50 = 127,832.50/x
  3. Step 3: Cross multiply
    96,314.25x = 127,832.50 × 127,832.50
  4. Step 4: Simplify right side
    96,314.25x = 16,341,148,056.25
  5. Step 5: Solve for x
    x = 16,341,148,056.25/96,314.25
  6. Step 6: Final answer
    x = 169,664.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.