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Finding the Third Proportional to 73,974 and 162,681

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Solution

The third proportional to 73,974 and 162,681 is: 357,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,974 : 162,681 = 162,681 : x
  2. Step 2: Convert to fraction form
    73,974/162,681 = 162,681/x
  3. Step 3: Cross multiply
    73,974x = 162,681 × 162,681
  4. Step 4: Simplify right side
    73,974x = 26,465,107,761
  5. Step 5: Solve for x
    x = 26,465,107,761/73,974
  6. Step 6: Final answer
    x = 357,762.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.