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Finding the Third Proportional to 52,867.75 and 124,757.50

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Solution

The third proportional to 52,867.75 and 124,757.50 is: 294,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,867.75 : 124,757.50 = 124,757.50 : x
  2. Step 2: Convert to fraction form
    52,867.75/124,757.50 = 124,757.50/x
  3. Step 3: Cross multiply
    52,867.75x = 124,757.50 × 124,757.50
  4. Step 4: Simplify right side
    52,867.75x = 15,564,433,806.25
  5. Step 5: Solve for x
    x = 15,564,433,806.25/52,867.75
  6. Step 6: Final answer
    x = 294,403.18

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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.