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Finding the Third Proportional to 48,737.50 and 101,304.50

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Solution

The third proportional to 48,737.50 and 101,304.50 is: 210,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,737.50 : 101,304.50 = 101,304.50 : x
  2. Step 2: Convert to fraction form
    48,737.50/101,304.50 = 101,304.50/x
  3. Step 3: Cross multiply
    48,737.50x = 101,304.50 × 101,304.50
  4. Step 4: Simplify right side
    48,737.50x = 10,262,601,720.25
  5. Step 5: Solve for x
    x = 10,262,601,720.25/48,737.50
  6. Step 6: Final answer
    x = 210,568.90

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.