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Finding the Third Proportional to 73,290 and 149,140

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Solution

The third proportional to 73,290 and 149,140 is: 303,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,290 : 149,140 = 149,140 : x
  2. Step 2: Convert to fraction form
    73,290/149,140 = 149,140/x
  3. Step 3: Cross multiply
    73,290x = 149,140 × 149,140
  4. Step 4: Simplify right side
    73,290x = 22,242,739,600
  5. Step 5: Solve for x
    x = 22,242,739,600/73,290
  6. Step 6: Final answer
    x = 303,489.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.