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Finding the Third Proportional to 53,883.50 and 117,093.50

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Solution

The third proportional to 53,883.50 and 117,093.50 is: 254,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,883.50 : 117,093.50 = 117,093.50 : x
  2. Step 2: Convert to fraction form
    53,883.50/117,093.50 = 117,093.50/x
  3. Step 3: Cross multiply
    53,883.50x = 117,093.50 × 117,093.50
  4. Step 4: Simplify right side
    53,883.50x = 13,710,887,742.25
  5. Step 5: Solve for x
    x = 13,710,887,742.25/53,883.50
  6. Step 6: Final answer
    x = 254,454.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.