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Finding the Third Proportional to 98,041 and 151,466

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Solution

The third proportional to 98,041 and 151,466 is: 234,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,041 : 151,466 = 151,466 : x
  2. Step 2: Convert to fraction form
    98,041/151,466 = 151,466/x
  3. Step 3: Cross multiply
    98,041x = 151,466 × 151,466
  4. Step 4: Simplify right side
    98,041x = 22,941,949,156
  5. Step 5: Solve for x
    x = 22,941,949,156/98,041
  6. Step 6: Final answer
    x = 234,003.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.