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Finding the Third Proportional to 73,114 and 151,980

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Solution

The third proportional to 73,114 and 151,980 is: 315,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114 : 151,980 = 151,980 : x
  2. Step 2: Convert to fraction form
    73,114/151,980 = 151,980/x
  3. Step 3: Cross multiply
    73,114x = 151,980 × 151,980
  4. Step 4: Simplify right side
    73,114x = 23,097,920,400
  5. Step 5: Solve for x
    x = 23,097,920,400/73,114
  6. Step 6: Final answer
    x = 315,916.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.