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Finding the Third Proportional to 127,607.63 and 195,873.19

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Solution

The third proportional to 127,607.63 and 195,873.19 is: 300,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,607.63 : 195,873.19 = 195,873.19 : x
  2. Step 2: Convert to fraction form
    127,607.63/195,873.19 = 195,873.19/x
  3. Step 3: Cross multiply
    127,607.63x = 195,873.19 × 195,873.19
  4. Step 4: Simplify right side
    127,607.63x = 38,366,305,581.41
  5. Step 5: Solve for x
    x = 38,366,305,581.41/127,607.63
  6. Step 6: Final answer
    x = 300,658.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.