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Finding the Third Proportional to 35,998 and 79,154

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Solution

The third proportional to 35,998 and 79,154 is: 174,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998 : 79,154 = 79,154 : x
  2. Step 2: Convert to fraction form
    35,998/79,154 = 79,154/x
  3. Step 3: Cross multiply
    35,998x = 79,154 × 79,154
  4. Step 4: Simplify right side
    35,998x = 6,265,355,716
  5. Step 5: Solve for x
    x = 6,265,355,716/35,998
  6. Step 6: Final answer
    x = 174,047.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.