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Finding the Third Proportional to 75,856 and 109,264

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Solution

The third proportional to 75,856 and 109,264 is: 157,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856 : 109,264 = 109,264 : x
  2. Step 2: Convert to fraction form
    75,856/109,264 = 109,264/x
  3. Step 3: Cross multiply
    75,856x = 109,264 × 109,264
  4. Step 4: Simplify right side
    75,856x = 11,938,621,696
  5. Step 5: Solve for x
    x = 11,938,621,696/75,856
  6. Step 6: Final answer
    x = 157,385.33

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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.