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Finding the Third Proportional to 119,114 and 180,858

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Solution

The third proportional to 119,114 and 180,858 is: 274,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,114 : 180,858 = 180,858 : x
  2. Step 2: Convert to fraction form
    119,114/180,858 = 180,858/x
  3. Step 3: Cross multiply
    119,114x = 180,858 × 180,858
  4. Step 4: Simplify right side
    119,114x = 32,709,616,164
  5. Step 5: Solve for x
    x = 32,709,616,164/119,114
  6. Step 6: Final answer
    x = 274,607.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.