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Finding the Third Proportional to 62,627.75 and 110,378.50

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Solution

The third proportional to 62,627.75 and 110,378.50 is: 194,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,627.75 : 110,378.50 = 110,378.50 : x
  2. Step 2: Convert to fraction form
    62,627.75/110,378.50 = 110,378.50/x
  3. Step 3: Cross multiply
    62,627.75x = 110,378.50 × 110,378.50
  4. Step 4: Simplify right side
    62,627.75x = 12,183,413,262.25
  5. Step 5: Solve for x
    x = 12,183,413,262.25/62,627.75
  6. Step 6: Final answer
    x = 194,536.98

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.