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Finding the Third Proportional to 74,326 and 162,748

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Solution

The third proportional to 74,326 and 162,748 is: 356,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,326 : 162,748 = 162,748 : x
  2. Step 2: Convert to fraction form
    74,326/162,748 = 162,748/x
  3. Step 3: Cross multiply
    74,326x = 162,748 × 162,748
  4. Step 4: Simplify right side
    74,326x = 26,486,911,504
  5. Step 5: Solve for x
    x = 26,486,911,504/74,326
  6. Step 6: Final answer
    x = 356,361.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.