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Finding the Third Proportional to 50,445 and 70,696

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Solution

The third proportional to 50,445 and 70,696 is: 99,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,445 : 70,696 = 70,696 : x
  2. Step 2: Convert to fraction form
    50,445/70,696 = 70,696/x
  3. Step 3: Cross multiply
    50,445x = 70,696 × 70,696
  4. Step 4: Simplify right side
    50,445x = 4,997,924,416
  5. Step 5: Solve for x
    x = 4,997,924,416/50,445
  6. Step 6: Final answer
    x = 99,076.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.