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Finding the Third Proportional to 105,317.72 and 163,068.19

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Solution

The third proportional to 105,317.72 and 163,068.19 is: 252,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,317.72 : 163,068.19 = 163,068.19 : x
  2. Step 2: Convert to fraction form
    105,317.72/163,068.19 = 163,068.19/x
  3. Step 3: Cross multiply
    105,317.72x = 163,068.19 × 163,068.19
  4. Step 4: Simplify right side
    105,317.72x = 26,591,233,774.54
  5. Step 5: Solve for x
    x = 26,591,233,774.54/105,317.72
  6. Step 6: Final answer
    x = 252,485.85

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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.