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Finding the Third Proportional to 74,445 and 162,011

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Solution

The third proportional to 74,445 and 162,011 is: 352,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,445 : 162,011 = 162,011 : x
  2. Step 2: Convert to fraction form
    74,445/162,011 = 162,011/x
  3. Step 3: Cross multiply
    74,445x = 162,011 × 162,011
  4. Step 4: Simplify right side
    74,445x = 26,247,564,121
  5. Step 5: Solve for x
    x = 26,247,564,121/74,445
  6. Step 6: Final answer
    x = 352,576.59

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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.