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Finding the Third Proportional to 141,126 and 211,725

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Solution

The third proportional to 141,126 and 211,725 is: 317,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,126 : 211,725 = 211,725 : x
  2. Step 2: Convert to fraction form
    141,126/211,725 = 211,725/x
  3. Step 3: Cross multiply
    141,126x = 211,725 × 211,725
  4. Step 4: Simplify right side
    141,126x = 44,827,475,625
  5. Step 5: Solve for x
    x = 44,827,475,625/141,126
  6. Step 6: Final answer
    x = 317,641.51

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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.