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Finding the Third Proportional to 101,037.38 and 155,768.06

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Solution

The third proportional to 101,037.38 and 155,768.06 is: 240,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,037.38 : 155,768.06 = 155,768.06 : x
  2. Step 2: Convert to fraction form
    101,037.38/155,768.06 = 155,768.06/x
  3. Step 3: Cross multiply
    101,037.38x = 155,768.06 × 155,768.06
  4. Step 4: Simplify right side
    101,037.38x = 24,263,689,295.00
  5. Step 5: Solve for x
    x = 24,263,689,295.00/101,037.38
  6. Step 6: Final answer
    x = 240,145.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.