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Finding the Third Proportional to 113,806.13 and 163,941.19

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Solution

The third proportional to 113,806.13 and 163,941.19 is: 236,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,806.13 : 163,941.19 = 163,941.19 : x
  2. Step 2: Convert to fraction form
    113,806.13/163,941.19 = 163,941.19/x
  3. Step 3: Cross multiply
    113,806.13x = 163,941.19 × 163,941.19
  4. Step 4: Simplify right side
    113,806.13x = 26,876,712,958.91
  5. Step 5: Solve for x
    x = 26,876,712,958.91/113,806.13
  6. Step 6: Final answer
    x = 236,162.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.