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Finding the Third Proportional to 53,924 and 115,655

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Solution

The third proportional to 53,924 and 115,655 is: 248,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,924 : 115,655 = 115,655 : x
  2. Step 2: Convert to fraction form
    53,924/115,655 = 115,655/x
  3. Step 3: Cross multiply
    53,924x = 115,655 × 115,655
  4. Step 4: Simplify right side
    53,924x = 13,376,079,025
  5. Step 5: Solve for x
    x = 13,376,079,025/53,924
  6. Step 6: Final answer
    x = 248,054.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.