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Finding the Third Proportional to 52,254.49 and 114,914.32

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Solution

The third proportional to 52,254.49 and 114,914.32 is: 252,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,254.49 : 114,914.32 = 114,914.32 : x
  2. Step 2: Convert to fraction form
    52,254.49/114,914.32 = 114,914.32/x
  3. Step 3: Cross multiply
    52,254.49x = 114,914.32 × 114,914.32
  4. Step 4: Simplify right side
    52,254.49x = 13,205,301,012.88
  5. Step 5: Solve for x
    x = 13,205,301,012.88/52,254.49
  6. Step 6: Final answer
    x = 252,711.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.