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Finding the Third Proportional to 125,300.75 and 181,037.94

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Solution

The third proportional to 125,300.75 and 181,037.94 is: 261,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,300.75 : 181,037.94 = 181,037.94 : x
  2. Step 2: Convert to fraction form
    125,300.75/181,037.94 = 181,037.94/x
  3. Step 3: Cross multiply
    125,300.75x = 181,037.94 × 181,037.94
  4. Step 4: Simplify right side
    125,300.75x = 32,774,734,814.25
  5. Step 5: Solve for x
    x = 32,774,734,814.25/125,300.75
  6. Step 6: Final answer
    x = 261,568.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.