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Finding the Third Proportional to 73,066 and 157,050

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Solution

The third proportional to 73,066 and 157,050 is: 337,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,066 : 157,050 = 157,050 : x
  2. Step 2: Convert to fraction form
    73,066/157,050 = 157,050/x
  3. Step 3: Cross multiply
    73,066x = 157,050 × 157,050
  4. Step 4: Simplify right side
    73,066x = 24,664,702,500
  5. Step 5: Solve for x
    x = 24,664,702,500/73,066
  6. Step 6: Final answer
    x = 337,567.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.