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Finding the Third Proportional to 52,005 and 74,316

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Solution

The third proportional to 52,005 and 74,316 is: 106,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005 : 74,316 = 74,316 : x
  2. Step 2: Convert to fraction form
    52,005/74,316 = 74,316/x
  3. Step 3: Cross multiply
    52,005x = 74,316 × 74,316
  4. Step 4: Simplify right side
    52,005x = 5,522,867,856
  5. Step 5: Solve for x
    x = 5,522,867,856/52,005
  6. Step 6: Final answer
    x = 106,198.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.