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Finding the Third Proportional to 79,117 and 105,685

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Solution

The third proportional to 79,117 and 105,685 is: 141,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,117 : 105,685 = 105,685 : x
  2. Step 2: Convert to fraction form
    79,117/105,685 = 105,685/x
  3. Step 3: Cross multiply
    79,117x = 105,685 × 105,685
  4. Step 4: Simplify right side
    79,117x = 11,169,319,225
  5. Step 5: Solve for x
    x = 11,169,319,225/79,117
  6. Step 6: Final answer
    x = 141,174.71

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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.