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Finding the Third Proportional to 58,464 and 127,288

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Solution

The third proportional to 58,464 and 127,288 is: 277,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,464 : 127,288 = 127,288 : x
  2. Step 2: Convert to fraction form
    58,464/127,288 = 127,288/x
  3. Step 3: Cross multiply
    58,464x = 127,288 × 127,288
  4. Step 4: Simplify right side
    58,464x = 16,202,234,944
  5. Step 5: Solve for x
    x = 16,202,234,944/58,464
  6. Step 6: Final answer
    x = 277,131.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.