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Finding the Third Proportional to 54,033 and 86,816

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Solution

The third proportional to 54,033 and 86,816 is: 139,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,033 : 86,816 = 86,816 : x
  2. Step 2: Convert to fraction form
    54,033/86,816 = 86,816/x
  3. Step 3: Cross multiply
    54,033x = 86,816 × 86,816
  4. Step 4: Simplify right side
    54,033x = 7,537,017,856
  5. Step 5: Solve for x
    x = 7,537,017,856/54,033
  6. Step 6: Final answer
    x = 139,489.16

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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.