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Finding the Third Proportional to 110,193.75 and 163,670.25

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Solution

The third proportional to 110,193.75 and 163,670.25 is: 243,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,193.75 : 163,670.25 = 163,670.25 : x
  2. Step 2: Convert to fraction form
    110,193.75/163,670.25 = 163,670.25/x
  3. Step 3: Cross multiply
    110,193.75x = 163,670.25 × 163,670.25
  4. Step 4: Simplify right side
    110,193.75x = 26,787,950,735.06
  5. Step 5: Solve for x
    x = 26,787,950,735.06/110,193.75
  6. Step 6: Final answer
    x = 243,098.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.