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Finding the Third Proportional to 119,052 and 158,814

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Solution

The third proportional to 119,052 and 158,814 is: 211,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,052 : 158,814 = 158,814 : x
  2. Step 2: Convert to fraction form
    119,052/158,814 = 158,814/x
  3. Step 3: Cross multiply
    119,052x = 158,814 × 158,814
  4. Step 4: Simplify right side
    119,052x = 25,221,886,596
  5. Step 5: Solve for x
    x = 25,221,886,596/119,052
  6. Step 6: Final answer
    x = 211,856.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.