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Finding the Third Proportional to 79,700 and 114,834

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Solution

The third proportional to 79,700 and 114,834 is: 165,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,700 : 114,834 = 114,834 : x
  2. Step 2: Convert to fraction form
    79,700/114,834 = 114,834/x
  3. Step 3: Cross multiply
    79,700x = 114,834 × 114,834
  4. Step 4: Simplify right side
    79,700x = 13,186,847,556
  5. Step 5: Solve for x
    x = 13,186,847,556/79,700
  6. Step 6: Final answer
    x = 165,456.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.