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Finding the Third Proportional to 89,962 and 134,454

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Solution

The third proportional to 89,962 and 134,454 is: 200,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,962 : 134,454 = 134,454 : x
  2. Step 2: Convert to fraction form
    89,962/134,454 = 134,454/x
  3. Step 3: Cross multiply
    89,962x = 134,454 × 134,454
  4. Step 4: Simplify right side
    89,962x = 18,077,878,116
  5. Step 5: Solve for x
    x = 18,077,878,116/89,962
  6. Step 6: Final answer
    x = 200,950.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.