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Finding the Third Proportional to 76,700.25 and 119,037.38

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Solution

The third proportional to 76,700.25 and 119,037.38 is: 184,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,700.25 : 119,037.38 = 119,037.38 : x
  2. Step 2: Convert to fraction form
    76,700.25/119,037.38 = 119,037.38/x
  3. Step 3: Cross multiply
    76,700.25x = 119,037.38 × 119,037.38
  4. Step 4: Simplify right side
    76,700.25x = 14,169,896,646.89
  5. Step 5: Solve for x
    x = 14,169,896,646.89/76,700.25
  6. Step 6: Final answer
    x = 184,743.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.