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Finding the Third Proportional to 98,478 and 147,682

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Solution

The third proportional to 98,478 and 147,682 is: 221,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,478 : 147,682 = 147,682 : x
  2. Step 2: Convert to fraction form
    98,478/147,682 = 147,682/x
  3. Step 3: Cross multiply
    98,478x = 147,682 × 147,682
  4. Step 4: Simplify right side
    98,478x = 21,809,973,124
  5. Step 5: Solve for x
    x = 21,809,973,124/98,478
  6. Step 6: Final answer
    x = 221,470.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.