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Finding the Third Proportional to 49,125.94 and 105,261.75

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Solution

The third proportional to 49,125.94 and 105,261.75 is: 225,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,125.94 : 105,261.75 = 105,261.75 : x
  2. Step 2: Convert to fraction form
    49,125.94/105,261.75 = 105,261.75/x
  3. Step 3: Cross multiply
    49,125.94x = 105,261.75 × 105,261.75
  4. Step 4: Simplify right side
    49,125.94x = 11,080,036,013.06
  5. Step 5: Solve for x
    x = 11,080,036,013.06/49,125.94
  6. Step 6: Final answer
    x = 225,543.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.