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Finding the Third Proportional to 53,322 and 123,444

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Solution

The third proportional to 53,322 and 123,444 is: 285,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,322 : 123,444 = 123,444 : x
  2. Step 2: Convert to fraction form
    53,322/123,444 = 123,444/x
  3. Step 3: Cross multiply
    53,322x = 123,444 × 123,444
  4. Step 4: Simplify right side
    53,322x = 15,238,421,136
  5. Step 5: Solve for x
    x = 15,238,421,136/53,322
  6. Step 6: Final answer
    x = 285,781.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.