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Finding the Third Proportional to 30,292 and 64,192

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Solution

The third proportional to 30,292 and 64,192 is: 136,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292 : 64,192 = 64,192 : x
  2. Step 2: Convert to fraction form
    30,292/64,192 = 64,192/x
  3. Step 3: Cross multiply
    30,292x = 64,192 × 64,192
  4. Step 4: Simplify right side
    30,292x = 4,120,612,864
  5. Step 5: Solve for x
    x = 4,120,612,864/30,292
  6. Step 6: Final answer
    x = 136,029.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.