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Finding the Third Proportional to 48,699.75 and 119,284.50

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Solution

The third proportional to 48,699.75 and 119,284.50 is: 292,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,699.75 : 119,284.50 = 119,284.50 : x
  2. Step 2: Convert to fraction form
    48,699.75/119,284.50 = 119,284.50/x
  3. Step 3: Cross multiply
    48,699.75x = 119,284.50 × 119,284.50
  4. Step 4: Simplify right side
    48,699.75x = 14,228,791,940.25
  5. Step 5: Solve for x
    x = 14,228,791,940.25/48,699.75
  6. Step 6: Final answer
    x = 292,173.82

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.