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Finding the Third Proportional to 86,604 and 130,161

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Solution

The third proportional to 86,604 and 130,161 is: 195,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,604 : 130,161 = 130,161 : x
  2. Step 2: Convert to fraction form
    86,604/130,161 = 130,161/x
  3. Step 3: Cross multiply
    86,604x = 130,161 × 130,161
  4. Step 4: Simplify right side
    86,604x = 16,941,885,921
  5. Step 5: Solve for x
    x = 16,941,885,921/86,604
  6. Step 6: Final answer
    x = 195,624.75

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Why These Related Problems?

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