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Finding the Third Proportional to 141,186 and 212,095

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Solution

The third proportional to 141,186 and 212,095 is: 318,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,186 : 212,095 = 212,095 : x
  2. Step 2: Convert to fraction form
    141,186/212,095 = 212,095/x
  3. Step 3: Cross multiply
    141,186x = 212,095 × 212,095
  4. Step 4: Simplify right side
    141,186x = 44,984,289,025
  5. Step 5: Solve for x
    x = 44,984,289,025/141,186
  6. Step 6: Final answer
    x = 318,617.21

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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.