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Finding the Third Proportional to 86,576 and 130,802

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Solution

The third proportional to 86,576 and 130,802 is: 197,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,576 : 130,802 = 130,802 : x
  2. Step 2: Convert to fraction form
    86,576/130,802 = 130,802/x
  3. Step 3: Cross multiply
    86,576x = 130,802 × 130,802
  4. Step 4: Simplify right side
    86,576x = 17,109,163,204
  5. Step 5: Solve for x
    x = 17,109,163,204/86,576
  6. Step 6: Final answer
    x = 197,620.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.