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Finding the Third Proportional to 52,827.75 and 124,578.50

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Solution

The third proportional to 52,827.75 and 124,578.50 is: 293,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,827.75 : 124,578.50 = 124,578.50 : x
  2. Step 2: Convert to fraction form
    52,827.75/124,578.50 = 124,578.50/x
  3. Step 3: Cross multiply
    52,827.75x = 124,578.50 × 124,578.50
  4. Step 4: Simplify right side
    52,827.75x = 15,519,802,662.25
  5. Step 5: Solve for x
    x = 15,519,802,662.25/52,827.75
  6. Step 6: Final answer
    x = 293,781.25

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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.