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Finding the Third Proportional to 127,037 and 189,931

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Solution

The third proportional to 127,037 and 189,931 is: 283,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,037 : 189,931 = 189,931 : x
  2. Step 2: Convert to fraction form
    127,037/189,931 = 189,931/x
  3. Step 3: Cross multiply
    127,037x = 189,931 × 189,931
  4. Step 4: Simplify right side
    127,037x = 36,073,784,761
  5. Step 5: Solve for x
    x = 36,073,784,761/127,037
  6. Step 6: Final answer
    x = 283,962.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.