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Finding the Third Proportional to 45,592.88 and 68,207.06

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Solution

The third proportional to 45,592.88 and 68,207.06 is: 102,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,592.88 : 68,207.06 = 68,207.06 : x
  2. Step 2: Convert to fraction form
    45,592.88/68,207.06 = 68,207.06/x
  3. Step 3: Cross multiply
    45,592.88x = 68,207.06 × 68,207.06
  4. Step 4: Simplify right side
    45,592.88x = 4,652,203,374.88
  5. Step 5: Solve for x
    x = 4,652,203,374.88/45,592.88
  6. Step 6: Final answer
    x = 102,037.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.