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Finding the Third Proportional to 141,895 and 211,612

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Solution

The third proportional to 141,895 and 211,612 is: 315,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,895 : 211,612 = 211,612 : x
  2. Step 2: Convert to fraction form
    141,895/211,612 = 211,612/x
  3. Step 3: Cross multiply
    141,895x = 211,612 × 211,612
  4. Step 4: Simplify right side
    141,895x = 44,779,638,544
  5. Step 5: Solve for x
    x = 44,779,638,544/141,895
  6. Step 6: Final answer
    x = 315,582.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.