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Finding the Third Proportional to 131,037.75 and 209,860.88

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Solution

The third proportional to 131,037.75 and 209,860.88 is: 336,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,037.75 : 209,860.88 = 209,860.88 : x
  2. Step 2: Convert to fraction form
    131,037.75/209,860.88 = 209,860.88/x
  3. Step 3: Cross multiply
    131,037.75x = 209,860.88 × 209,860.88
  4. Step 4: Simplify right side
    131,037.75x = 44,041,586,855.77
  5. Step 5: Solve for x
    x = 44,041,586,855.77/131,037.75
  6. Step 6: Final answer
    x = 336,098.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.