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Finding the Third Proportional to 35,905 and 79,046

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Solution

The third proportional to 35,905 and 79,046 is: 174,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,905 : 79,046 = 79,046 : x
  2. Step 2: Convert to fraction form
    35,905/79,046 = 79,046/x
  3. Step 3: Cross multiply
    35,905x = 79,046 × 79,046
  4. Step 4: Simplify right side
    35,905x = 6,248,270,116
  5. Step 5: Solve for x
    x = 6,248,270,116/35,905
  6. Step 6: Final answer
    x = 174,022.28

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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.