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Finding the Third Proportional to 127,953 and 193,691.25

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Solution

The third proportional to 127,953 and 193,691.25 is: 293,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,953 : 193,691.25 = 193,691.25 : x
  2. Step 2: Convert to fraction form
    127,953/193,691.25 = 193,691.25/x
  3. Step 3: Cross multiply
    127,953x = 193,691.25 × 193,691.25
  4. Step 4: Simplify right side
    127,953x = 37,516,300,326.56
  5. Step 5: Solve for x
    x = 37,516,300,326.56/127,953
  6. Step 6: Final answer
    x = 293,203.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.