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Finding the Third Proportional to 53,820.70 and 116,252.72

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Solution

The third proportional to 53,820.70 and 116,252.72 is: 251,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,820.70 : 116,252.72 = 116,252.72 : x
  2. Step 2: Convert to fraction form
    53,820.70/116,252.72 = 116,252.72/x
  3. Step 3: Cross multiply
    53,820.70x = 116,252.72 × 116,252.72
  4. Step 4: Simplify right side
    53,820.70x = 13,514,694,616.77
  5. Step 5: Solve for x
    x = 13,514,694,616.77/53,820.70
  6. Step 6: Final answer
    x = 251,105.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.