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Finding the Third Proportional to 44,078 and 97,964

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Solution

The third proportional to 44,078 and 97,964 is: 217,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,078 : 97,964 = 97,964 : x
  2. Step 2: Convert to fraction form
    44,078/97,964 = 97,964/x
  3. Step 3: Cross multiply
    44,078x = 97,964 × 97,964
  4. Step 4: Simplify right side
    44,078x = 9,596,945,296
  5. Step 5: Solve for x
    x = 9,596,945,296/44,078
  6. Step 6: Final answer
    x = 217,726.42

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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.