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Finding the Third Proportional to 50,754 and 76,135.50

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Solution

The third proportional to 50,754 and 76,135.50 is: 114,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,754 : 76,135.50 = 76,135.50 : x
  2. Step 2: Convert to fraction form
    50,754/76,135.50 = 76,135.50/x
  3. Step 3: Cross multiply
    50,754x = 76,135.50 × 76,135.50
  4. Step 4: Simplify right side
    50,754x = 5,796,614,360.25
  5. Step 5: Solve for x
    x = 5,796,614,360.25/50,754
  6. Step 6: Final answer
    x = 114,210.00

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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.