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Finding the Third Proportional to 73,947 and 161,888

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Solution

The third proportional to 73,947 and 161,888 is: 354,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,947 : 161,888 = 161,888 : x
  2. Step 2: Convert to fraction form
    73,947/161,888 = 161,888/x
  3. Step 3: Cross multiply
    73,947x = 161,888 × 161,888
  4. Step 4: Simplify right side
    73,947x = 26,207,724,544
  5. Step 5: Solve for x
    x = 26,207,724,544/73,947
  6. Step 6: Final answer
    x = 354,412.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.