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Finding the Third Proportional to 105,768.56 and 163,851.19

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Solution

The third proportional to 105,768.56 and 163,851.19 is: 253,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,768.56 : 163,851.19 = 163,851.19 : x
  2. Step 2: Convert to fraction form
    105,768.56/163,851.19 = 163,851.19/x
  3. Step 3: Cross multiply
    105,768.56x = 163,851.19 × 163,851.19
  4. Step 4: Simplify right side
    105,768.56x = 26,847,211,645.16
  5. Step 5: Solve for x
    x = 26,847,211,645.16/105,768.56
  6. Step 6: Final answer
    x = 253,829.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.