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Finding the Third Proportional to 127,416 and 191,172

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Solution

The third proportional to 127,416 and 191,172 is: 286,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,416 : 191,172 = 191,172 : x
  2. Step 2: Convert to fraction form
    127,416/191,172 = 191,172/x
  3. Step 3: Cross multiply
    127,416x = 191,172 × 191,172
  4. Step 4: Simplify right side
    127,416x = 36,546,733,584
  5. Step 5: Solve for x
    x = 36,546,733,584/127,416
  6. Step 6: Final answer
    x = 286,830.02

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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.