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Finding the Third Proportional to 75,363 and 116,640

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Solution

The third proportional to 75,363 and 116,640 is: 180,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,363 : 116,640 = 116,640 : x
  2. Step 2: Convert to fraction form
    75,363/116,640 = 116,640/x
  3. Step 3: Cross multiply
    75,363x = 116,640 × 116,640
  4. Step 4: Simplify right side
    75,363x = 13,604,889,600
  5. Step 5: Solve for x
    x = 13,604,889,600/75,363
  6. Step 6: Final answer
    x = 180,524.79

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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.