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Finding the Third Proportional to 48,901.50 and 107,145

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Solution

The third proportional to 48,901.50 and 107,145 is: 234,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,901.50 : 107,145 = 107,145 : x
  2. Step 2: Convert to fraction form
    48,901.50/107,145 = 107,145/x
  3. Step 3: Cross multiply
    48,901.50x = 107,145 × 107,145
  4. Step 4: Simplify right side
    48,901.50x = 11,480,051,025
  5. Step 5: Solve for x
    x = 11,480,051,025/48,901.50
  6. Step 6: Final answer
    x = 234,758.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.