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Finding the Third Proportional to 53,335 and 115,226

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Solution

The third proportional to 53,335 and 115,226 is: 248,936.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,335 : 115,226 = 115,226 : x
  2. Step 2: Convert to fraction form
    53,335/115,226 = 115,226/x
  3. Step 3: Cross multiply
    53,335x = 115,226 × 115,226
  4. Step 4: Simplify right side
    53,335x = 13,277,031,076
  5. Step 5: Solve for x
    x = 13,277,031,076/53,335
  6. Step 6: Final answer
    x = 248,936.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.