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Finding the Third Proportional to 53,319 and 116,682

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Solution

The third proportional to 53,319 and 116,682 is: 255,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,319 : 116,682 = 116,682 : x
  2. Step 2: Convert to fraction form
    53,319/116,682 = 116,682/x
  3. Step 3: Cross multiply
    53,319x = 116,682 × 116,682
  4. Step 4: Simplify right side
    53,319x = 13,614,689,124
  5. Step 5: Solve for x
    x = 13,614,689,124/53,319
  6. Step 6: Final answer
    x = 255,344.04

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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.