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Finding the Third Proportional to 53,535 and 115,292

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Solution

The third proportional to 53,535 and 115,292 is: 248,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,535 : 115,292 = 115,292 : x
  2. Step 2: Convert to fraction form
    53,535/115,292 = 115,292/x
  3. Step 3: Cross multiply
    53,535x = 115,292 × 115,292
  4. Step 4: Simplify right side
    53,535x = 13,292,245,264
  5. Step 5: Solve for x
    x = 13,292,245,264/53,535
  6. Step 6: Final answer
    x = 248,290.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.