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Finding the Third Proportional to 53,463 and 80,068.50

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Solution

The third proportional to 53,463 and 80,068.50 is: 119,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,463 : 80,068.50 = 80,068.50 : x
  2. Step 2: Convert to fraction form
    53,463/80,068.50 = 80,068.50/x
  3. Step 3: Cross multiply
    53,463x = 80,068.50 × 80,068.50
  4. Step 4: Simplify right side
    53,463x = 6,410,964,692.25
  5. Step 5: Solve for x
    x = 6,410,964,692.25/53,463
  6. Step 6: Final answer
    x = 119,914.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.