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Finding the Third Proportional to 75,356 and 116,756

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Solution

The third proportional to 75,356 and 116,756 is: 180,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,356 : 116,756 = 116,756 : x
  2. Step 2: Convert to fraction form
    75,356/116,756 = 116,756/x
  3. Step 3: Cross multiply
    75,356x = 116,756 × 116,756
  4. Step 4: Simplify right side
    75,356x = 13,631,963,536
  5. Step 5: Solve for x
    x = 13,631,963,536/75,356
  6. Step 6: Final answer
    x = 180,900.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.