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Finding the Third Proportional to 79,416 and 173,070

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Solution

The third proportional to 79,416 and 173,070 is: 377,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,416 : 173,070 = 173,070 : x
  2. Step 2: Convert to fraction form
    79,416/173,070 = 173,070/x
  3. Step 3: Cross multiply
    79,416x = 173,070 × 173,070
  4. Step 4: Simplify right side
    79,416x = 29,953,224,900
  5. Step 5: Solve for x
    x = 29,953,224,900/79,416
  6. Step 6: Final answer
    x = 377,168.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.