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Finding the Third Proportional to 63,900 and 89,599.50

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Solution

The third proportional to 63,900 and 89,599.50 is: 125,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,900 : 89,599.50 = 89,599.50 : x
  2. Step 2: Convert to fraction form
    63,900/89,599.50 = 89,599.50/x
  3. Step 3: Cross multiply
    63,900x = 89,599.50 × 89,599.50
  4. Step 4: Simplify right side
    63,900x = 8,028,070,400.25
  5. Step 5: Solve for x
    x = 8,028,070,400.25/63,900
  6. Step 6: Final answer
    x = 125,634.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.