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Finding the Third Proportional to 141,006 and 212,967

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Solution

The third proportional to 141,006 and 212,967 is: 321,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,006 : 212,967 = 212,967 : x
  2. Step 2: Convert to fraction form
    141,006/212,967 = 212,967/x
  3. Step 3: Cross multiply
    141,006x = 212,967 × 212,967
  4. Step 4: Simplify right side
    141,006x = 45,354,943,089
  5. Step 5: Solve for x
    x = 45,354,943,089/141,006
  6. Step 6: Final answer
    x = 321,652.58

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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.