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Finding the Third Proportional to 127,403 and 191,073

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Solution

The third proportional to 127,403 and 191,073 is: 286,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,403 : 191,073 = 191,073 : x
  2. Step 2: Convert to fraction form
    127,403/191,073 = 191,073/x
  3. Step 3: Cross multiply
    127,403x = 191,073 × 191,073
  4. Step 4: Simplify right side
    127,403x = 36,508,891,329
  5. Step 5: Solve for x
    x = 36,508,891,329/127,403
  6. Step 6: Final answer
    x = 286,562.26

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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.