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Finding the Third Proportional to 133,035.75 and 157,639.50

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Solution

The third proportional to 133,035.75 and 157,639.50 is: 186,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,035.75 : 157,639.50 = 157,639.50 : x
  2. Step 2: Convert to fraction form
    133,035.75/157,639.50 = 157,639.50/x
  3. Step 3: Cross multiply
    133,035.75x = 157,639.50 × 157,639.50
  4. Step 4: Simplify right side
    133,035.75x = 24,850,211,960.25
  5. Step 5: Solve for x
    x = 24,850,211,960.25/133,035.75
  6. Step 6: Final answer
    x = 186,793.49

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.