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Finding the Third Proportional to 98,083 and 150,284

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Solution

The third proportional to 98,083 and 150,284 is: 230,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,083 : 150,284 = 150,284 : x
  2. Step 2: Convert to fraction form
    98,083/150,284 = 150,284/x
  3. Step 3: Cross multiply
    98,083x = 150,284 × 150,284
  4. Step 4: Simplify right side
    98,083x = 22,585,280,656
  5. Step 5: Solve for x
    x = 22,585,280,656/98,083
  6. Step 6: Final answer
    x = 230,267.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.