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Finding the Third Proportional to 34,242 and 74,715

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Solution

The third proportional to 34,242 and 74,715 is: 163,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242 : 74,715 = 74,715 : x
  2. Step 2: Convert to fraction form
    34,242/74,715 = 74,715/x
  3. Step 3: Cross multiply
    34,242x = 74,715 × 74,715
  4. Step 4: Simplify right side
    34,242x = 5,582,331,225
  5. Step 5: Solve for x
    x = 5,582,331,225/34,242
  6. Step 6: Final answer
    x = 163,025.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.