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Finding the Third Proportional to 25,199 and 54,690.50

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Solution

The third proportional to 25,199 and 54,690.50 is: 118,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199 : 54,690.50 = 54,690.50 : x
  2. Step 2: Convert to fraction form
    25,199/54,690.50 = 54,690.50/x
  3. Step 3: Cross multiply
    25,199x = 54,690.50 × 54,690.50
  4. Step 4: Simplify right side
    25,199x = 2,991,050,790.25
  5. Step 5: Solve for x
    x = 2,991,050,790.25/25,199
  6. Step 6: Final answer
    x = 118,697.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.