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Finding the Third Proportional to 125,854 and 193,157

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Solution

The third proportional to 125,854 and 193,157 is: 296,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,854 : 193,157 = 193,157 : x
  2. Step 2: Convert to fraction form
    125,854/193,157 = 193,157/x
  3. Step 3: Cross multiply
    125,854x = 193,157 × 193,157
  4. Step 4: Simplify right side
    125,854x = 37,309,626,649
  5. Step 5: Solve for x
    x = 37,309,626,649/125,854
  6. Step 6: Final answer
    x = 296,451.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.