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Finding the Third Proportional to 127,329.75 and 193,762.88

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Solution

The third proportional to 127,329.75 and 193,762.88 is: 294,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,329.75 : 193,762.88 = 193,762.88 : x
  2. Step 2: Convert to fraction form
    127,329.75/193,762.88 = 193,762.88/x
  3. Step 3: Cross multiply
    127,329.75x = 193,762.88 × 193,762.88
  4. Step 4: Simplify right side
    127,329.75x = 37,544,051,728.27
  5. Step 5: Solve for x
    x = 37,544,051,728.27/127,329.75
  6. Step 6: Final answer
    x = 294,856.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.