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Finding the Third Proportional to 35,090 and 77,956

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Solution

The third proportional to 35,090 and 77,956 is: 173,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,090 : 77,956 = 77,956 : x
  2. Step 2: Convert to fraction form
    35,090/77,956 = 77,956/x
  3. Step 3: Cross multiply
    35,090x = 77,956 × 77,956
  4. Step 4: Simplify right side
    35,090x = 6,077,137,936
  5. Step 5: Solve for x
    x = 6,077,137,936/35,090
  6. Step 6: Final answer
    x = 173,187.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.