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Finding the Third Proportional to 61,166.81 and 134,751.94

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Solution

The third proportional to 61,166.81 and 134,751.94 is: 296,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,166.81 : 134,751.94 = 134,751.94 : x
  2. Step 2: Convert to fraction form
    61,166.81/134,751.94 = 134,751.94/x
  3. Step 3: Cross multiply
    61,166.81x = 134,751.94 × 134,751.94
  4. Step 4: Simplify right side
    61,166.81x = 18,158,084,660.00
  5. Step 5: Solve for x
    x = 18,158,084,660.00/61,166.81
  6. Step 6: Final answer
    x = 296,861.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.