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Finding the Third Proportional to 105,768.56 and 163,845.56

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Solution

The third proportional to 105,768.56 and 163,845.56 is: 253,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,768.56 : 163,845.56 = 163,845.56 : x
  2. Step 2: Convert to fraction form
    105,768.56/163,845.56 = 163,845.56/x
  3. Step 3: Cross multiply
    105,768.56x = 163,845.56 × 163,845.56
  4. Step 4: Simplify right side
    105,768.56x = 26,845,368,350.94
  5. Step 5: Solve for x
    x = 26,845,368,350.94/105,768.56
  6. Step 6: Final answer
    x = 253,812.36

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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.