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Finding the Third Proportional to 55,284 and 129,958

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Solution

The third proportional to 55,284 and 129,958 is: 305,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,284 : 129,958 = 129,958 : x
  2. Step 2: Convert to fraction form
    55,284/129,958 = 129,958/x
  3. Step 3: Cross multiply
    55,284x = 129,958 × 129,958
  4. Step 4: Simplify right side
    55,284x = 16,889,081,764
  5. Step 5: Solve for x
    x = 16,889,081,764/55,284
  6. Step 6: Final answer
    x = 305,496.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.