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Finding the Third Proportional to 49,007 and 73,316

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Solution

The third proportional to 49,007 and 73,316 is: 109,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,007 : 73,316 = 73,316 : x
  2. Step 2: Convert to fraction form
    49,007/73,316 = 73,316/x
  3. Step 3: Cross multiply
    49,007x = 73,316 × 73,316
  4. Step 4: Simplify right side
    49,007x = 5,375,235,856
  5. Step 5: Solve for x
    x = 5,375,235,856/49,007
  6. Step 6: Final answer
    x = 109,683.02

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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.