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Finding the Third Proportional to 74,013 and 162,789

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Solution

The third proportional to 74,013 and 162,789 is: 358,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,013 : 162,789 = 162,789 : x
  2. Step 2: Convert to fraction form
    74,013/162,789 = 162,789/x
  3. Step 3: Cross multiply
    74,013x = 162,789 × 162,789
  4. Step 4: Simplify right side
    74,013x = 26,500,258,521
  5. Step 5: Solve for x
    x = 26,500,258,521/74,013
  6. Step 6: Final answer
    x = 358,048.70

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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.