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Finding the Third Proportional to 75,023 and 156,976

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Solution

The third proportional to 75,023 and 156,976 is: 328,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,023 : 156,976 = 156,976 : x
  2. Step 2: Convert to fraction form
    75,023/156,976 = 156,976/x
  3. Step 3: Cross multiply
    75,023x = 156,976 × 156,976
  4. Step 4: Simplify right side
    75,023x = 24,641,464,576
  5. Step 5: Solve for x
    x = 24,641,464,576/75,023
  6. Step 6: Final answer
    x = 328,452.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.