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Finding the Third Proportional to 53,516.24 and 117,625.76

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Solution

The third proportional to 53,516.24 and 117,625.76 is: 258,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,516.24 : 117,625.76 = 117,625.76 : x
  2. Step 2: Convert to fraction form
    53,516.24/117,625.76 = 117,625.76/x
  3. Step 3: Cross multiply
    53,516.24x = 117,625.76 × 117,625.76
  4. Step 4: Simplify right side
    53,516.24x = 13,835,820,279.39
  5. Step 5: Solve for x
    x = 13,835,820,279.39/53,516.24
  6. Step 6: Final answer
    x = 258,534.98

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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.