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Finding the Third Proportional to 73,402 and 147,950

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Solution

The third proportional to 73,402 and 147,950 is: 298,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,402 : 147,950 = 147,950 : x
  2. Step 2: Convert to fraction form
    73,402/147,950 = 147,950/x
  3. Step 3: Cross multiply
    73,402x = 147,950 × 147,950
  4. Step 4: Simplify right side
    73,402x = 21,889,202,500
  5. Step 5: Solve for x
    x = 21,889,202,500/73,402
  6. Step 6: Final answer
    x = 298,209.89

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.