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Finding the Third Proportional to 98,741 and 148,982

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Solution

The third proportional to 98,741 and 148,982 is: 224,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,741 : 148,982 = 148,982 : x
  2. Step 2: Convert to fraction form
    98,741/148,982 = 148,982/x
  3. Step 3: Cross multiply
    98,741x = 148,982 × 148,982
  4. Step 4: Simplify right side
    98,741x = 22,195,636,324
  5. Step 5: Solve for x
    x = 22,195,636,324/98,741
  6. Step 6: Final answer
    x = 224,786.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.