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Finding the Third Proportional to 52,876.50 and 114,464.50

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Solution

The third proportional to 52,876.50 and 114,464.50 is: 247,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876.50 : 114,464.50 = 114,464.50 : x
  2. Step 2: Convert to fraction form
    52,876.50/114,464.50 = 114,464.50/x
  3. Step 3: Cross multiply
    52,876.50x = 114,464.50 × 114,464.50
  4. Step 4: Simplify right side
    52,876.50x = 13,102,121,760.25
  5. Step 5: Solve for x
    x = 13,102,121,760.25/52,876.50
  6. Step 6: Final answer
    x = 247,787.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.