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Finding the Third Proportional to 119,213 and 180,035

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Solution

The third proportional to 119,213 and 180,035 is: 271,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,213 : 180,035 = 180,035 : x
  2. Step 2: Convert to fraction form
    119,213/180,035 = 180,035/x
  3. Step 3: Cross multiply
    119,213x = 180,035 × 180,035
  4. Step 4: Simplify right side
    119,213x = 32,412,601,225
  5. Step 5: Solve for x
    x = 32,412,601,225/119,213
  6. Step 6: Final answer
    x = 271,888.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.