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Finding the Third Proportional to 58,424 and 127,904

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Solution

The third proportional to 58,424 and 127,904 is: 280,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,424 : 127,904 = 127,904 : x
  2. Step 2: Convert to fraction form
    58,424/127,904 = 127,904/x
  3. Step 3: Cross multiply
    58,424x = 127,904 × 127,904
  4. Step 4: Simplify right side
    58,424x = 16,359,433,216
  5. Step 5: Solve for x
    x = 16,359,433,216/58,424
  6. Step 6: Final answer
    x = 280,012.21

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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.