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Finding the Third Proportional to 98,704 and 201,072

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Solution

The third proportional to 98,704 and 201,072 is: 409,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,704 : 201,072 = 201,072 : x
  2. Step 2: Convert to fraction form
    98,704/201,072 = 201,072/x
  3. Step 3: Cross multiply
    98,704x = 201,072 × 201,072
  4. Step 4: Simplify right side
    98,704x = 40,429,949,184
  5. Step 5: Solve for x
    x = 40,429,949,184/98,704
  6. Step 6: Final answer
    x = 409,608.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.