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Finding the Third Proportional to 79,128 and 105,701

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Solution

The third proportional to 79,128 and 105,701 is: 141,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,128 : 105,701 = 105,701 : x
  2. Step 2: Convert to fraction form
    79,128/105,701 = 105,701/x
  3. Step 3: Cross multiply
    79,128x = 105,701 × 105,701
  4. Step 4: Simplify right side
    79,128x = 11,172,701,401
  5. Step 5: Solve for x
    x = 11,172,701,401/79,128
  6. Step 6: Final answer
    x = 141,197.82

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.