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Finding the Third Proportional to 53,255 and 116,695

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Solution

The third proportional to 53,255 and 116,695 is: 255,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,255 : 116,695 = 116,695 : x
  2. Step 2: Convert to fraction form
    53,255/116,695 = 116,695/x
  3. Step 3: Cross multiply
    53,255x = 116,695 × 116,695
  4. Step 4: Simplify right side
    53,255x = 13,617,723,025
  5. Step 5: Solve for x
    x = 13,617,723,025/53,255
  6. Step 6: Final answer
    x = 255,707.88

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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.