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Finding the Third Proportional to 128,032 and 193,818

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Solution

The third proportional to 128,032 and 193,818 is: 293,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,032 : 193,818 = 193,818 : x
  2. Step 2: Convert to fraction form
    128,032/193,818 = 193,818/x
  3. Step 3: Cross multiply
    128,032x = 193,818 × 193,818
  4. Step 4: Simplify right side
    128,032x = 37,565,417,124
  5. Step 5: Solve for x
    x = 37,565,417,124/128,032
  6. Step 6: Final answer
    x = 293,406.47

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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.