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Finding the Third Proportional to 60,504 and 124,896

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Solution

The third proportional to 60,504 and 124,896 is: 257,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,504 : 124,896 = 124,896 : x
  2. Step 2: Convert to fraction form
    60,504/124,896 = 124,896/x
  3. Step 3: Cross multiply
    60,504x = 124,896 × 124,896
  4. Step 4: Simplify right side
    60,504x = 15,599,010,816
  5. Step 5: Solve for x
    x = 15,599,010,816/60,504
  6. Step 6: Final answer
    x = 257,817.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.