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Finding the Third Proportional to 52,829.75 and 124,583.88

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Solution

The third proportional to 52,829.75 and 124,583.88 is: 293,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,829.75 : 124,583.88 = 124,583.88 : x
  2. Step 2: Convert to fraction form
    52,829.75/124,583.88 = 124,583.88/x
  3. Step 3: Cross multiply
    52,829.75x = 124,583.88 × 124,583.88
  4. Step 4: Simplify right side
    52,829.75x = 15,521,141,910.02
  5. Step 5: Solve for x
    x = 15,521,141,910.02/52,829.75
  6. Step 6: Final answer
    x = 293,795.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.