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Finding the Third Proportional to 69,770 and 160,007

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Solution

The third proportional to 69,770 and 160,007 is: 366,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,770 : 160,007 = 160,007 : x
  2. Step 2: Convert to fraction form
    69,770/160,007 = 160,007/x
  3. Step 3: Cross multiply
    69,770x = 160,007 × 160,007
  4. Step 4: Simplify right side
    69,770x = 25,602,240,049
  5. Step 5: Solve for x
    x = 25,602,240,049/69,770
  6. Step 6: Final answer
    x = 366,951.99

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.