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Finding the Third Proportional to 74,461 and 162,040

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Solution

The third proportional to 74,461 and 162,040 is: 352,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461 : 162,040 = 162,040 : x
  2. Step 2: Convert to fraction form
    74,461/162,040 = 162,040/x
  3. Step 3: Cross multiply
    74,461x = 162,040 × 162,040
  4. Step 4: Simplify right side
    74,461x = 26,256,961,600
  5. Step 5: Solve for x
    x = 26,256,961,600/74,461
  6. Step 6: Final answer
    x = 352,627.03

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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.