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Finding the Third Proportional to 79,214 and 168,700

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Solution

The third proportional to 79,214 and 168,700 is: 359,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,214 : 168,700 = 168,700 : x
  2. Step 2: Convert to fraction form
    79,214/168,700 = 168,700/x
  3. Step 3: Cross multiply
    79,214x = 168,700 × 168,700
  4. Step 4: Simplify right side
    79,214x = 28,459,690,000
  5. Step 5: Solve for x
    x = 28,459,690,000/79,214
  6. Step 6: Final answer
    x = 359,276.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.