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Finding the Third Proportional to 98,300 and 155,895

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Solution

The third proportional to 98,300 and 155,895 is: 247,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,300 : 155,895 = 155,895 : x
  2. Step 2: Convert to fraction form
    98,300/155,895 = 155,895/x
  3. Step 3: Cross multiply
    98,300x = 155,895 × 155,895
  4. Step 4: Simplify right side
    98,300x = 24,303,251,025
  5. Step 5: Solve for x
    x = 24,303,251,025/98,300
  6. Step 6: Final answer
    x = 247,235.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.