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Finding the Third Proportional to 127,913.63 and 195,769.13

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Solution

The third proportional to 127,913.63 and 195,769.13 is: 299,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,913.63 : 195,769.13 = 195,769.13 : x
  2. Step 2: Convert to fraction form
    127,913.63/195,769.13 = 195,769.13/x
  3. Step 3: Cross multiply
    127,913.63x = 195,769.13 × 195,769.13
  4. Step 4: Simplify right side
    127,913.63x = 38,325,550,303.27
  5. Step 5: Solve for x
    x = 38,325,550,303.27/127,913.63
  6. Step 6: Final answer
    x = 299,620.55

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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.