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Finding the Third Proportional to 53,122.50 and 115,904.25

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Solution

The third proportional to 53,122.50 and 115,904.25 is: 252,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,122.50 : 115,904.25 = 115,904.25 : x
  2. Step 2: Convert to fraction form
    53,122.50/115,904.25 = 115,904.25/x
  3. Step 3: Cross multiply
    53,122.50x = 115,904.25 × 115,904.25
  4. Step 4: Simplify right side
    53,122.50x = 13,433,795,168.06
  5. Step 5: Solve for x
    x = 13,433,795,168.06/53,122.50
  6. Step 6: Final answer
    x = 252,883.34

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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.