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Finding the Third Proportional to 53,035.50 and 114,375

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Solution

The third proportional to 53,035.50 and 114,375 is: 246,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,035.50 : 114,375 = 114,375 : x
  2. Step 2: Convert to fraction form
    53,035.50/114,375 = 114,375/x
  3. Step 3: Cross multiply
    53,035.50x = 114,375 × 114,375
  4. Step 4: Simplify right side
    53,035.50x = 13,081,640,625
  5. Step 5: Solve for x
    x = 13,081,640,625/53,035.50
  6. Step 6: Final answer
    x = 246,658.19

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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.