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Finding the Third Proportional to 158,077 and 237,122

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Solution

The third proportional to 158,077 and 237,122 is: 355,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,077 : 237,122 = 237,122 : x
  2. Step 2: Convert to fraction form
    158,077/237,122 = 237,122/x
  3. Step 3: Cross multiply
    158,077x = 237,122 × 237,122
  4. Step 4: Simplify right side
    158,077x = 56,226,842,884
  5. Step 5: Solve for x
    x = 56,226,842,884/158,077
  6. Step 6: Final answer
    x = 355,692.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.