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Finding the Third Proportional to 106,104 and 148,740

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Solution

The third proportional to 106,104 and 148,740 is: 208,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,104 : 148,740 = 148,740 : x
  2. Step 2: Convert to fraction form
    106,104/148,740 = 148,740/x
  3. Step 3: Cross multiply
    106,104x = 148,740 × 148,740
  4. Step 4: Simplify right side
    106,104x = 22,123,587,600
  5. Step 5: Solve for x
    x = 22,123,587,600/106,104
  6. Step 6: Final answer
    x = 208,508.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.