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Finding the Third Proportional to 74,110 and 162,344

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Solution

The third proportional to 74,110 and 162,344 is: 355,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,110 : 162,344 = 162,344 : x
  2. Step 2: Convert to fraction form
    74,110/162,344 = 162,344/x
  3. Step 3: Cross multiply
    74,110x = 162,344 × 162,344
  4. Step 4: Simplify right side
    74,110x = 26,355,574,336
  5. Step 5: Solve for x
    x = 26,355,574,336/74,110
  6. Step 6: Final answer
    x = 355,627.77

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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.