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Finding the Third Proportional to 120,037.50 and 175,122

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Solution

The third proportional to 120,037.50 and 175,122 is: 255,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,037.50 : 175,122 = 175,122 : x
  2. Step 2: Convert to fraction form
    120,037.50/175,122 = 175,122/x
  3. Step 3: Cross multiply
    120,037.50x = 175,122 × 175,122
  4. Step 4: Simplify right side
    120,037.50x = 30,667,714,884
  5. Step 5: Solve for x
    x = 30,667,714,884/120,037.50
  6. Step 6: Final answer
    x = 255,484.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.