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Finding the Third Proportional to 35,094 and 77,964

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Solution

The third proportional to 35,094 and 77,964 is: 173,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,094 : 77,964 = 77,964 : x
  2. Step 2: Convert to fraction form
    35,094/77,964 = 77,964/x
  3. Step 3: Cross multiply
    35,094x = 77,964 × 77,964
  4. Step 4: Simplify right side
    35,094x = 6,078,385,296
  5. Step 5: Solve for x
    x = 6,078,385,296/35,094
  6. Step 6: Final answer
    x = 173,202.98

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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.