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Finding the Third Proportional to 69,164 and 147,544

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Solution

The third proportional to 69,164 and 147,544 is: 314,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,164 : 147,544 = 147,544 : x
  2. Step 2: Convert to fraction form
    69,164/147,544 = 147,544/x
  3. Step 3: Cross multiply
    69,164x = 147,544 × 147,544
  4. Step 4: Simplify right side
    69,164x = 21,769,231,936
  5. Step 5: Solve for x
    x = 21,769,231,936/69,164
  6. Step 6: Final answer
    x = 314,748.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.