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Finding the Third Proportional to 53.47 and 115.29

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Solution

The third proportional to 53.47 and 115.29 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.47 : 115.29 = 115.29 : x
  2. Step 2: Convert to fraction form
    53.47/115.29 = 115.29/x
  3. Step 3: Cross multiply
    53.47x = 115.29 × 115.29
  4. Step 4: Simplify right side
    53.47x = 13,292.92
  5. Step 5: Solve for x
    x = 13,292.92/53.47
  6. Step 6: Final answer
    x = 248.59

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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.