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Finding the Third Proportional to 75,342 and 116,733

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Solution

The third proportional to 75,342 and 116,733 is: 180,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,342 : 116,733 = 116,733 : x
  2. Step 2: Convert to fraction form
    75,342/116,733 = 116,733/x
  3. Step 3: Cross multiply
    75,342x = 116,733 × 116,733
  4. Step 4: Simplify right side
    75,342x = 13,626,593,289
  5. Step 5: Solve for x
    x = 13,626,593,289/75,342
  6. Step 6: Final answer
    x = 180,863.17

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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.