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Finding the Third Proportional to 69,516 and 151,779

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Solution

The third proportional to 69,516 and 151,779 is: 331,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,516 : 151,779 = 151,779 : x
  2. Step 2: Convert to fraction form
    69,516/151,779 = 151,779/x
  3. Step 3: Cross multiply
    69,516x = 151,779 × 151,779
  4. Step 4: Simplify right side
    69,516x = 23,036,864,841
  5. Step 5: Solve for x
    x = 23,036,864,841/69,516
  6. Step 6: Final answer
    x = 331,389.39

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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.