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Finding the Third Proportional to 75,998.25 and 114,037.88

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Solution

The third proportional to 75,998.25 and 114,037.88 is: 171,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998.25 : 114,037.88 = 114,037.88 : x
  2. Step 2: Convert to fraction form
    75,998.25/114,037.88 = 114,037.88/x
  3. Step 3: Cross multiply
    75,998.25x = 114,037.88 × 114,037.88
  4. Step 4: Simplify right side
    75,998.25x = 13,004,636,934.52
  5. Step 5: Solve for x
    x = 13,004,636,934.52/75,998.25
  6. Step 6: Final answer
    x = 171,117.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.