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Finding the Third Proportional to 114,037.88 and 164,267.91

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Solution

The third proportional to 114,037.88 and 164,267.91 is: 236,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,037.88 : 164,267.91 = 164,267.91 : x
  2. Step 2: Convert to fraction form
    114,037.88/164,267.91 = 164,267.91/x
  3. Step 3: Cross multiply
    114,037.88x = 164,267.91 × 164,267.91
  4. Step 4: Simplify right side
    114,037.88x = 26,983,945,023.76
  5. Step 5: Solve for x
    x = 26,983,945,023.76/114,037.88
  6. Step 6: Final answer
    x = 236,622.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.