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Finding the Third Proportional to 49,290 and 105,960

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Solution

The third proportional to 49,290 and 105,960 is: 227,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,290 : 105,960 = 105,960 : x
  2. Step 2: Convert to fraction form
    49,290/105,960 = 105,960/x
  3. Step 3: Cross multiply
    49,290x = 105,960 × 105,960
  4. Step 4: Simplify right side
    49,290x = 11,227,521,600
  5. Step 5: Solve for x
    x = 11,227,521,600/49,290
  6. Step 6: Final answer
    x = 227,784.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.