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Finding the Third Proportional to 101,044 and 149,596

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Solution

The third proportional to 101,044 and 149,596 is: 221,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,044 : 149,596 = 149,596 : x
  2. Step 2: Convert to fraction form
    101,044/149,596 = 149,596/x
  3. Step 3: Cross multiply
    101,044x = 149,596 × 149,596
  4. Step 4: Simplify right side
    101,044x = 22,378,963,216
  5. Step 5: Solve for x
    x = 22,378,963,216/101,044
  6. Step 6: Final answer
    x = 221,477.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.