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Finding the Third Proportional to 96,541 and 147,682

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Solution

The third proportional to 96,541 and 147,682 is: 225,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,541 : 147,682 = 147,682 : x
  2. Step 2: Convert to fraction form
    96,541/147,682 = 147,682/x
  3. Step 3: Cross multiply
    96,541x = 147,682 × 147,682
  4. Step 4: Simplify right side
    96,541x = 21,809,973,124
  5. Step 5: Solve for x
    x = 21,809,973,124/96,541
  6. Step 6: Final answer
    x = 225,914.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.