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Finding the Third Proportional to 74,502 and 162,144

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Solution

The third proportional to 74,502 and 162,144 is: 352,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,502 : 162,144 = 162,144 : x
  2. Step 2: Convert to fraction form
    74,502/162,144 = 162,144/x
  3. Step 3: Cross multiply
    74,502x = 162,144 × 162,144
  4. Step 4: Simplify right side
    74,502x = 26,290,676,736
  5. Step 5: Solve for x
    x = 26,290,676,736/74,502
  6. Step 6: Final answer
    x = 352,885.52

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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.