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Finding the Third Proportional to 53,098 and 115,855

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Solution

The third proportional to 53,098 and 115,855 is: 252,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098 : 115,855 = 115,855 : x
  2. Step 2: Convert to fraction form
    53,098/115,855 = 115,855/x
  3. Step 3: Cross multiply
    53,098x = 115,855 × 115,855
  4. Step 4: Simplify right side
    53,098x = 13,422,381,025
  5. Step 5: Solve for x
    x = 13,422,381,025/53,098
  6. Step 6: Final answer
    x = 252,785.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.