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Finding the Third Proportional to 75,600 and 118,332

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Solution

The third proportional to 75,600 and 118,332 is: 185,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,600 : 118,332 = 118,332 : x
  2. Step 2: Convert to fraction form
    75,600/118,332 = 118,332/x
  3. Step 3: Cross multiply
    75,600x = 118,332 × 118,332
  4. Step 4: Simplify right side
    75,600x = 14,002,462,224
  5. Step 5: Solve for x
    x = 14,002,462,224/75,600
  6. Step 6: Final answer
    x = 185,217.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.