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Finding the Third Proportional to 53,760 and 86,312

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Solution

The third proportional to 53,760 and 86,312 is: 138,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,760 : 86,312 = 86,312 : x
  2. Step 2: Convert to fraction form
    53,760/86,312 = 86,312/x
  3. Step 3: Cross multiply
    53,760x = 86,312 × 86,312
  4. Step 4: Simplify right side
    53,760x = 7,449,761,344
  5. Step 5: Solve for x
    x = 7,449,761,344/53,760
  6. Step 6: Final answer
    x = 138,574.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.