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Finding the Third Proportional to 74,742 and 164,253

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Solution

The third proportional to 74,742 and 164,253 is: 360,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,742 : 164,253 = 164,253 : x
  2. Step 2: Convert to fraction form
    74,742/164,253 = 164,253/x
  3. Step 3: Cross multiply
    74,742x = 164,253 × 164,253
  4. Step 4: Simplify right side
    74,742x = 26,979,048,009
  5. Step 5: Solve for x
    x = 26,979,048,009/74,742
  6. Step 6: Final answer
    x = 360,962.35

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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.