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Finding the Third Proportional to 49,097 and 73,564

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Solution

The third proportional to 49,097 and 73,564 is: 110,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097 : 73,564 = 73,564 : x
  2. Step 2: Convert to fraction form
    49,097/73,564 = 73,564/x
  3. Step 3: Cross multiply
    49,097x = 73,564 × 73,564
  4. Step 4: Simplify right side
    49,097x = 5,411,662,096
  5. Step 5: Solve for x
    x = 5,411,662,096/49,097
  6. Step 6: Final answer
    x = 110,223.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.