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Finding the Third Proportional to 53,864 and 115,058

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Solution

The third proportional to 53,864 and 115,058 is: 245,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,864 : 115,058 = 115,058 : x
  2. Step 2: Convert to fraction form
    53,864/115,058 = 115,058/x
  3. Step 3: Cross multiply
    53,864x = 115,058 × 115,058
  4. Step 4: Simplify right side
    53,864x = 13,238,343,364
  5. Step 5: Solve for x
    x = 13,238,343,364/53,864
  6. Step 6: Final answer
    x = 245,773.49

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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.