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Finding the Third Proportional to 110,163 and 148,636.50

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Solution

The third proportional to 110,163 and 148,636.50 is: 200,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,163 : 148,636.50 = 148,636.50 : x
  2. Step 2: Convert to fraction form
    110,163/148,636.50 = 148,636.50/x
  3. Step 3: Cross multiply
    110,163x = 148,636.50 × 148,636.50
  4. Step 4: Simplify right side
    110,163x = 22,092,809,132.25
  5. Step 5: Solve for x
    x = 22,092,809,132.25/110,163
  6. Step 6: Final answer
    x = 200,546.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.