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Finding the Third Proportional to 71,416 and 110,944

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Solution

The third proportional to 71,416 and 110,944 is: 172,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,416 : 110,944 = 110,944 : x
  2. Step 2: Convert to fraction form
    71,416/110,944 = 110,944/x
  3. Step 3: Cross multiply
    71,416x = 110,944 × 110,944
  4. Step 4: Simplify right side
    71,416x = 12,308,571,136
  5. Step 5: Solve for x
    x = 12,308,571,136/71,416
  6. Step 6: Final answer
    x = 172,350.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.