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Finding the Third Proportional to 125,890.50 and 257,596.50

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Solution

The third proportional to 125,890.50 and 257,596.50 is: 527,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,890.50 : 257,596.50 = 257,596.50 : x
  2. Step 2: Convert to fraction form
    125,890.50/257,596.50 = 257,596.50/x
  3. Step 3: Cross multiply
    125,890.50x = 257,596.50 × 257,596.50
  4. Step 4: Simplify right side
    125,890.50x = 66,355,956,812.25
  5. Step 5: Solve for x
    x = 66,355,956,812.25/125,890.50
  6. Step 6: Final answer
    x = 527,092.65

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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.