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Finding the Third Proportional to 54,726 and 86,544

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Solution

The third proportional to 54,726 and 86,544 is: 136,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,726 : 86,544 = 86,544 : x
  2. Step 2: Convert to fraction form
    54,726/86,544 = 86,544/x
  3. Step 3: Cross multiply
    54,726x = 86,544 × 86,544
  4. Step 4: Simplify right side
    54,726x = 7,489,863,936
  5. Step 5: Solve for x
    x = 7,489,863,936/54,726
  6. Step 6: Final answer
    x = 136,861.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.