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Finding the Third Proportional to 125,898.75 and 271,904.63

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Solution

The third proportional to 125,898.75 and 271,904.63 is: 587,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,898.75 : 271,904.63 = 271,904.63 : x
  2. Step 2: Convert to fraction form
    125,898.75/271,904.63 = 271,904.63/x
  3. Step 3: Cross multiply
    125,898.75x = 271,904.63 × 271,904.63
  4. Step 4: Simplify right side
    125,898.75x = 73,932,125,096.39
  5. Step 5: Solve for x
    x = 73,932,125,096.39/125,898.75
  6. Step 6: Final answer
    x = 587,234.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.