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Finding the Third Proportional to 127,766.74 and 185,701.36

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Solution

The third proportional to 127,766.74 and 185,701.36 is: 269,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,766.74 : 185,701.36 = 185,701.36 : x
  2. Step 2: Convert to fraction form
    127,766.74/185,701.36 = 185,701.36/x
  3. Step 3: Cross multiply
    127,766.74x = 185,701.36 × 185,701.36
  4. Step 4: Simplify right side
    127,766.74x = 34,484,994,873.72
  5. Step 5: Solve for x
    x = 34,484,994,873.72/127,766.74
  6. Step 6: Final answer
    x = 269,905.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.