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Finding the Third Proportional to 53,252.86 and 116,690.84

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Solution

The third proportional to 53,252.86 and 116,690.84 is: 255,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,252.86 : 116,690.84 = 116,690.84 : x
  2. Step 2: Convert to fraction form
    53,252.86/116,690.84 = 116,690.84/x
  3. Step 3: Cross multiply
    53,252.86x = 116,690.84 × 116,690.84
  4. Step 4: Simplify right side
    53,252.86x = 13,616,751,191.79
  5. Step 5: Solve for x
    x = 13,616,751,191.79/53,252.86
  6. Step 6: Final answer
    x = 255,699.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.