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Finding the Third Proportional to 141,664 and 192,488

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Solution

The third proportional to 141,664 and 192,488 is: 261,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,664 : 192,488 = 192,488 : x
  2. Step 2: Convert to fraction form
    141,664/192,488 = 192,488/x
  3. Step 3: Cross multiply
    141,664x = 192,488 × 192,488
  4. Step 4: Simplify right side
    141,664x = 37,051,630,144
  5. Step 5: Solve for x
    x = 37,051,630,144/141,664
  6. Step 6: Final answer
    x = 261,545.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.