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Finding the Third Proportional to 52,004 and 74,315

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Solution

The third proportional to 52,004 and 74,315 is: 106,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004 : 74,315 = 74,315 : x
  2. Step 2: Convert to fraction form
    52,004/74,315 = 74,315/x
  3. Step 3: Cross multiply
    52,004x = 74,315 × 74,315
  4. Step 4: Simplify right side
    52,004x = 5,522,719,225
  5. Step 5: Solve for x
    x = 5,522,719,225/52,004
  6. Step 6: Final answer
    x = 106,197.97

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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.