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Finding the Third Proportional to 144,202 and 192,893

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Solution

The third proportional to 144,202 and 192,893 is: 258,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,202 : 192,893 = 192,893 : x
  2. Step 2: Convert to fraction form
    144,202/192,893 = 192,893/x
  3. Step 3: Cross multiply
    144,202x = 192,893 × 192,893
  4. Step 4: Simplify right side
    144,202x = 37,207,709,449
  5. Step 5: Solve for x
    x = 37,207,709,449/144,202
  6. Step 6: Final answer
    x = 258,024.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.