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Finding the Third Proportional to 127,240.50 and 197,118

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Solution

The third proportional to 127,240.50 and 197,118 is: 305,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,240.50 : 197,118 = 197,118 : x
  2. Step 2: Convert to fraction form
    127,240.50/197,118 = 197,118/x
  3. Step 3: Cross multiply
    127,240.50x = 197,118 × 197,118
  4. Step 4: Simplify right side
    127,240.50x = 38,855,505,924
  5. Step 5: Solve for x
    x = 38,855,505,924/127,240.50
  6. Step 6: Final answer
    x = 305,370.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.