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Finding the Third Proportional to 128,025.75 and 193,807.13

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Solution

The third proportional to 128,025.75 and 193,807.13 is: 293,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,025.75 : 193,807.13 = 193,807.13 : x
  2. Step 2: Convert to fraction form
    128,025.75/193,807.13 = 193,807.13/x
  3. Step 3: Cross multiply
    128,025.75x = 193,807.13 × 193,807.13
  4. Step 4: Simplify right side
    128,025.75x = 37,561,201,700.77
  5. Step 5: Solve for x
    x = 37,561,201,700.77/128,025.75
  6. Step 6: Final answer
    x = 293,387.87

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Why These Related Problems?

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