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Finding the Third Proportional to 34,296 and 74,208

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Solution

The third proportional to 34,296 and 74,208 is: 160,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296 : 74,208 = 74,208 : x
  2. Step 2: Convert to fraction form
    34,296/74,208 = 74,208/x
  3. Step 3: Cross multiply
    34,296x = 74,208 × 74,208
  4. Step 4: Simplify right side
    34,296x = 5,506,827,264
  5. Step 5: Solve for x
    x = 5,506,827,264/34,296
  6. Step 6: Final answer
    x = 160,567.62

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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.