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Finding the Third Proportional to 74,475 and 162,055

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Solution

The third proportional to 74,475 and 162,055 is: 352,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475 : 162,055 = 162,055 : x
  2. Step 2: Convert to fraction form
    74,475/162,055 = 162,055/x
  3. Step 3: Cross multiply
    74,475x = 162,055 × 162,055
  4. Step 4: Simplify right side
    74,475x = 26,261,823,025
  5. Step 5: Solve for x
    x = 26,261,823,025/74,475
  6. Step 6: Final answer
    x = 352,626.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.