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Finding the Third Proportional to 98,048 and 147,072

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Solution

The third proportional to 98,048 and 147,072 is: 220,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,048 : 147,072 = 147,072 : x
  2. Step 2: Convert to fraction form
    98,048/147,072 = 147,072/x
  3. Step 3: Cross multiply
    98,048x = 147,072 × 147,072
  4. Step 4: Simplify right side
    98,048x = 21,630,173,184
  5. Step 5: Solve for x
    x = 21,630,173,184/98,048
  6. Step 6: Final answer
    x = 220,608

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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.