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Finding the Third Proportional to 96,868 and 130,836

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Solution

The third proportional to 96,868 and 130,836 is: 176,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,868 : 130,836 = 130,836 : x
  2. Step 2: Convert to fraction form
    96,868/130,836 = 130,836/x
  3. Step 3: Cross multiply
    96,868x = 130,836 × 130,836
  4. Step 4: Simplify right side
    96,868x = 17,118,058,896
  5. Step 5: Solve for x
    x = 17,118,058,896/96,868
  6. Step 6: Final answer
    x = 176,715.31

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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.