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Finding the Third Proportional to 98,606 and 147,738

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Solution

The third proportional to 98,606 and 147,738 is: 221,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,606 : 147,738 = 147,738 : x
  2. Step 2: Convert to fraction form
    98,606/147,738 = 147,738/x
  3. Step 3: Cross multiply
    98,606x = 147,738 × 147,738
  4. Step 4: Simplify right side
    98,606x = 21,826,516,644
  5. Step 5: Solve for x
    x = 21,826,516,644/98,606
  6. Step 6: Final answer
    x = 221,350.80

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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.