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Finding the Third Proportional to 74,466 and 159,444

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Solution

The third proportional to 74,466 and 159,444 is: 341,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,466 : 159,444 = 159,444 : x
  2. Step 2: Convert to fraction form
    74,466/159,444 = 159,444/x
  3. Step 3: Cross multiply
    74,466x = 159,444 × 159,444
  4. Step 4: Simplify right side
    74,466x = 25,422,389,136
  5. Step 5: Solve for x
    x = 25,422,389,136/74,466
  6. Step 6: Final answer
    x = 341,395.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.