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Finding the Third Proportional to 58,192 and 127,424

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Solution

The third proportional to 58,192 and 127,424 is: 279,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,192 : 127,424 = 127,424 : x
  2. Step 2: Convert to fraction form
    58,192/127,424 = 127,424/x
  3. Step 3: Cross multiply
    58,192x = 127,424 × 127,424
  4. Step 4: Simplify right side
    58,192x = 16,236,875,776
  5. Step 5: Solve for x
    x = 16,236,875,776/58,192
  6. Step 6: Final answer
    x = 279,022.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.