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Finding the Third Proportional to 48,706.88 and 73,202.63

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Solution

The third proportional to 48,706.88 and 73,202.63 is: 110,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706.88 : 73,202.63 = 73,202.63 : x
  2. Step 2: Convert to fraction form
    48,706.88/73,202.63 = 73,202.63/x
  3. Step 3: Cross multiply
    48,706.88x = 73,202.63 × 73,202.63
  4. Step 4: Simplify right side
    48,706.88x = 5,358,624,306.89
  5. Step 5: Solve for x
    x = 5,358,624,306.89/48,706.88
  6. Step 6: Final answer
    x = 110,017.82

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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.