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Finding the Third Proportional to 125,252 and 193,712

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Solution

The third proportional to 125,252 and 193,712 is: 299,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,252 : 193,712 = 193,712 : x
  2. Step 2: Convert to fraction form
    125,252/193,712 = 193,712/x
  3. Step 3: Cross multiply
    125,252x = 193,712 × 193,712
  4. Step 4: Simplify right side
    125,252x = 37,524,338,944
  5. Step 5: Solve for x
    x = 37,524,338,944/125,252
  6. Step 6: Final answer
    x = 299,590.74

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