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Finding the Third Proportional to 51,847.50 and 121,410

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Solution

The third proportional to 51,847.50 and 121,410 is: 284,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847.50 : 121,410 = 121,410 : x
  2. Step 2: Convert to fraction form
    51,847.50/121,410 = 121,410/x
  3. Step 3: Cross multiply
    51,847.50x = 121,410 × 121,410
  4. Step 4: Simplify right side
    51,847.50x = 14,740,388,100
  5. Step 5: Solve for x
    x = 14,740,388,100/51,847.50
  6. Step 6: Final answer
    x = 284,302.77

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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.