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Finding the Third Proportional to 84,346 and 127,074

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Solution

The third proportional to 84,346 and 127,074 is: 191,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,346 : 127,074 = 127,074 : x
  2. Step 2: Convert to fraction form
    84,346/127,074 = 127,074/x
  3. Step 3: Cross multiply
    84,346x = 127,074 × 127,074
  4. Step 4: Simplify right side
    84,346x = 16,147,801,476
  5. Step 5: Solve for x
    x = 16,147,801,476/84,346
  6. Step 6: Final answer
    x = 191,447.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.