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Finding the Third Proportional to 127,507.50 and 196,746.75

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Solution

The third proportional to 127,507.50 and 196,746.75 is: 303,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,507.50 : 196,746.75 = 196,746.75 : x
  2. Step 2: Convert to fraction form
    127,507.50/196,746.75 = 196,746.75/x
  3. Step 3: Cross multiply
    127,507.50x = 196,746.75 × 196,746.75
  4. Step 4: Simplify right side
    127,507.50x = 38,709,283,635.56
  5. Step 5: Solve for x
    x = 38,709,283,635.56/127,507.50
  6. Step 6: Final answer
    x = 303,584.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.