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Finding the Third Proportional to 96,935 and 130,936

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Solution

The third proportional to 96,935 and 130,936 is: 176,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,935 : 130,936 = 130,936 : x
  2. Step 2: Convert to fraction form
    96,935/130,936 = 130,936/x
  3. Step 3: Cross multiply
    96,935x = 130,936 × 130,936
  4. Step 4: Simplify right side
    96,935x = 17,144,236,096
  5. Step 5: Solve for x
    x = 17,144,236,096/96,935
  6. Step 6: Final answer
    x = 176,863.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.