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Finding the Third Proportional to 127,906 and 191,858

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Solution

The third proportional to 127,906 and 191,858 is: 287,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,906 : 191,858 = 191,858 : x
  2. Step 2: Convert to fraction form
    127,906/191,858 = 191,858/x
  3. Step 3: Cross multiply
    127,906x = 191,858 × 191,858
  4. Step 4: Simplify right side
    127,906x = 36,809,492,164
  5. Step 5: Solve for x
    x = 36,809,492,164/127,906
  6. Step 6: Final answer
    x = 287,785.50

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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.