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Finding the Third Proportional to 58,444 and 127,824

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Solution

The third proportional to 58,444 and 127,824 is: 279,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,444 : 127,824 = 127,824 : x
  2. Step 2: Convert to fraction form
    58,444/127,824 = 127,824/x
  3. Step 3: Cross multiply
    58,444x = 127,824 × 127,824
  4. Step 4: Simplify right side
    58,444x = 16,338,974,976
  5. Step 5: Solve for x
    x = 16,338,974,976/58,444
  6. Step 6: Final answer
    x = 279,566.34

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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.