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Finding the Third Proportional to 53,326.88 and 115,206

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Solution

The third proportional to 53,326.88 and 115,206 is: 248,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,326.88 : 115,206 = 115,206 : x
  2. Step 2: Convert to fraction form
    53,326.88/115,206 = 115,206/x
  3. Step 3: Cross multiply
    53,326.88x = 115,206 × 115,206
  4. Step 4: Simplify right side
    53,326.88x = 13,272,422,436
  5. Step 5: Solve for x
    x = 13,272,422,436/53,326.88
  6. Step 6: Final answer
    x = 248,888.06

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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.