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Finding the Third Proportional to 86,824 and 130,212

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Solution

The third proportional to 86,824 and 130,212 is: 195,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,824 : 130,212 = 130,212 : x
  2. Step 2: Convert to fraction form
    86,824/130,212 = 130,212/x
  3. Step 3: Cross multiply
    86,824x = 130,212 × 130,212
  4. Step 4: Simplify right side
    86,824x = 16,955,164,944
  5. Step 5: Solve for x
    x = 16,955,164,944/86,824
  6. Step 6: Final answer
    x = 195,282.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.