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Finding the Third Proportional to 141,106 and 211,640

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Solution

The third proportional to 141,106 and 211,640 is: 317,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,106 : 211,640 = 211,640 : x
  2. Step 2: Convert to fraction form
    141,106/211,640 = 211,640/x
  3. Step 3: Cross multiply
    141,106x = 211,640 × 211,640
  4. Step 4: Simplify right side
    141,106x = 44,791,489,600
  5. Step 5: Solve for x
    x = 44,791,489,600/141,106
  6. Step 6: Final answer
    x = 317,431.50

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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.