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Finding the Third Proportional to 54,596 and 86,813

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Solution

The third proportional to 54,596 and 86,813 is: 138,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,596 : 86,813 = 86,813 : x
  2. Step 2: Convert to fraction form
    54,596/86,813 = 86,813/x
  3. Step 3: Cross multiply
    54,596x = 86,813 × 86,813
  4. Step 4: Simplify right side
    54,596x = 7,536,496,969
  5. Step 5: Solve for x
    x = 7,536,496,969/54,596
  6. Step 6: Final answer
    x = 138,041.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.