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Finding the Third Proportional to 52,999.31 and 115,364.25

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Solution

The third proportional to 52,999.31 and 115,364.25 is: 251,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,999.31 : 115,364.25 = 115,364.25 : x
  2. Step 2: Convert to fraction form
    52,999.31/115,364.25 = 115,364.25/x
  3. Step 3: Cross multiply
    52,999.31x = 115,364.25 × 115,364.25
  4. Step 4: Simplify right side
    52,999.31x = 13,308,910,178.06
  5. Step 5: Solve for x
    x = 13,308,910,178.06/52,999.31
  6. Step 6: Final answer
    x = 251,114.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.