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Finding the Third Proportional to 96,865 and 130,831

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Solution

The third proportional to 96,865 and 130,831 is: 176,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,865 : 130,831 = 130,831 : x
  2. Step 2: Convert to fraction form
    96,865/130,831 = 130,831/x
  3. Step 3: Cross multiply
    96,865x = 130,831 × 130,831
  4. Step 4: Simplify right side
    96,865x = 17,116,750,561
  5. Step 5: Solve for x
    x = 17,116,750,561/96,865
  6. Step 6: Final answer
    x = 176,707.28

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