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Finding the Third Proportional to 125,890.88 and 257,596.88

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Solution

The third proportional to 125,890.88 and 257,596.88 is: 527,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,890.88 : 257,596.88 = 257,596.88 : x
  2. Step 2: Convert to fraction form
    125,890.88/257,596.88 = 257,596.88/x
  3. Step 3: Cross multiply
    125,890.88x = 257,596.88 × 257,596.88
  4. Step 4: Simplify right side
    125,890.88x = 66,356,150,009.77
  5. Step 5: Solve for x
    x = 66,356,150,009.77/125,890.88
  6. Step 6: Final answer
    x = 527,092.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.