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Finding the Third Proportional to 34,230 and 74,052

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Solution

The third proportional to 34,230 and 74,052 is: 160,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,230 : 74,052 = 74,052 : x
  2. Step 2: Convert to fraction form
    34,230/74,052 = 74,052/x
  3. Step 3: Cross multiply
    34,230x = 74,052 × 74,052
  4. Step 4: Simplify right side
    34,230x = 5,483,698,704
  5. Step 5: Solve for x
    x = 5,483,698,704/34,230
  6. Step 6: Final answer
    x = 160,201.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.