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Finding the Third Proportional to 66,906 and 157,935

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Solution

The third proportional to 66,906 and 157,935 is: 372,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906 : 157,935 = 157,935 : x
  2. Step 2: Convert to fraction form
    66,906/157,935 = 157,935/x
  3. Step 3: Cross multiply
    66,906x = 157,935 × 157,935
  4. Step 4: Simplify right side
    66,906x = 24,943,464,225
  5. Step 5: Solve for x
    x = 24,943,464,225/66,906
  6. Step 6: Final answer
    x = 372,813.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.