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Finding the Third Proportional to 46,716.75 and 105,127.88

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Solution

The third proportional to 46,716.75 and 105,127.88 is: 236,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,716.75 : 105,127.88 = 105,127.88 : x
  2. Step 2: Convert to fraction form
    46,716.75/105,127.88 = 105,127.88/x
  3. Step 3: Cross multiply
    46,716.75x = 105,127.88 × 105,127.88
  4. Step 4: Simplify right side
    46,716.75x = 11,051,870,102.02
  5. Step 5: Solve for x
    x = 11,051,870,102.02/46,716.75
  6. Step 6: Final answer
    x = 236,571.90

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.