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Finding the Third Proportional to 48,735.50 and 101,300.50

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Solution

The third proportional to 48,735.50 and 101,300.50 is: 210,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,735.50 : 101,300.50 = 101,300.50 : x
  2. Step 2: Convert to fraction form
    48,735.50/101,300.50 = 101,300.50/x
  3. Step 3: Cross multiply
    48,735.50x = 101,300.50 × 101,300.50
  4. Step 4: Simplify right side
    48,735.50x = 10,261,791,300.25
  5. Step 5: Solve for x
    x = 10,261,791,300.25/48,735.50
  6. Step 6: Final answer
    x = 210,560.91

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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.