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Finding the Third Proportional to 95,688 and 131,356

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Solution

The third proportional to 95,688 and 131,356 is: 180,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,688 : 131,356 = 131,356 : x
  2. Step 2: Convert to fraction form
    95,688/131,356 = 131,356/x
  3. Step 3: Cross multiply
    95,688x = 131,356 × 131,356
  4. Step 4: Simplify right side
    95,688x = 17,254,398,736
  5. Step 5: Solve for x
    x = 17,254,398,736/95,688
  6. Step 6: Final answer
    x = 180,319.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.