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Finding the Third Proportional to 119,814 and 158,985

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Solution

The third proportional to 119,814 and 158,985 is: 210,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,814 : 158,985 = 158,985 : x
  2. Step 2: Convert to fraction form
    119,814/158,985 = 158,985/x
  3. Step 3: Cross multiply
    119,814x = 158,985 × 158,985
  4. Step 4: Simplify right side
    119,814x = 25,276,230,225
  5. Step 5: Solve for x
    x = 25,276,230,225/119,814
  6. Step 6: Final answer
    x = 210,962.24

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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.