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Finding the Third Proportional to 48,262.50 and 112,765.50

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Solution

The third proportional to 48,262.50 and 112,765.50 is: 263,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,262.50 : 112,765.50 = 112,765.50 : x
  2. Step 2: Convert to fraction form
    48,262.50/112,765.50 = 112,765.50/x
  3. Step 3: Cross multiply
    48,262.50x = 112,765.50 × 112,765.50
  4. Step 4: Simplify right side
    48,262.50x = 12,716,057,990.25
  5. Step 5: Solve for x
    x = 12,716,057,990.25/48,262.50
  6. Step 6: Final answer
    x = 263,476.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.