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Finding the Third Proportional to 69,164 and 145,708

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Solution

The third proportional to 69,164 and 145,708 is: 306,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,164 : 145,708 = 145,708 : x
  2. Step 2: Convert to fraction form
    69,164/145,708 = 145,708/x
  3. Step 3: Cross multiply
    69,164x = 145,708 × 145,708
  4. Step 4: Simplify right side
    69,164x = 21,230,821,264
  5. Step 5: Solve for x
    x = 21,230,821,264/69,164
  6. Step 6: Final answer
    x = 306,963.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.