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Finding the Third Proportional to 49,225.50 and 105,453

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Solution

The third proportional to 49,225.50 and 105,453 is: 225,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,225.50 : 105,453 = 105,453 : x
  2. Step 2: Convert to fraction form
    49,225.50/105,453 = 105,453/x
  3. Step 3: Cross multiply
    49,225.50x = 105,453 × 105,453
  4. Step 4: Simplify right side
    49,225.50x = 11,120,335,209
  5. Step 5: Solve for x
    x = 11,120,335,209/49,225.50
  6. Step 6: Final answer
    x = 225,905.99

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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.