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Finding the Third Proportional to 74,102 and 162,258

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Solution

The third proportional to 74,102 and 162,258 is: 355,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,102 : 162,258 = 162,258 : x
  2. Step 2: Convert to fraction form
    74,102/162,258 = 162,258/x
  3. Step 3: Cross multiply
    74,102x = 162,258 × 162,258
  4. Step 4: Simplify right side
    74,102x = 26,327,658,564
  5. Step 5: Solve for x
    x = 26,327,658,564/74,102
  6. Step 6: Final answer
    x = 355,289.45

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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.