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Finding the Third Proportional to 133,083 and 191,297.53

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Solution

The third proportional to 133,083 and 191,297.53 is: 274,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083 : 191,297.53 = 191,297.53 : x
  2. Step 2: Convert to fraction form
    133,083/191,297.53 = 191,297.53/x
  3. Step 3: Cross multiply
    133,083x = 191,297.53 × 191,297.53
  4. Step 4: Simplify right side
    133,083x = 36,594,745,462.34
  5. Step 5: Solve for x
    x = 36,594,745,462.34/133,083
  6. Step 6: Final answer
    x = 274,976.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.