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Finding the Third Proportional to 74,052 and 162,521

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Solution

The third proportional to 74,052 and 162,521 is: 356,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,052 : 162,521 = 162,521 : x
  2. Step 2: Convert to fraction form
    74,052/162,521 = 162,521/x
  3. Step 3: Cross multiply
    74,052x = 162,521 × 162,521
  4. Step 4: Simplify right side
    74,052x = 26,413,075,441
  5. Step 5: Solve for x
    x = 26,413,075,441/74,052
  6. Step 6: Final answer
    x = 356,682.81

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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.