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Finding the Third Proportional to 54,582.19 and 117,137.81

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Solution

The third proportional to 54,582.19 and 117,137.81 is: 251,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,582.19 : 117,137.81 = 117,137.81 : x
  2. Step 2: Convert to fraction form
    54,582.19/117,137.81 = 117,137.81/x
  3. Step 3: Cross multiply
    54,582.19x = 117,137.81 × 117,137.81
  4. Step 4: Simplify right side
    54,582.19x = 13,721,267,117.29
  5. Step 5: Solve for x
    x = 13,721,267,117.29/54,582.19
  6. Step 6: Final answer
    x = 251,387.27

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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.