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Finding the Third Proportional to 28,419 and 59,154

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Solution

The third proportional to 28,419 and 59,154 is: 123,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,419 : 59,154 = 59,154 : x
  2. Step 2: Convert to fraction form
    28,419/59,154 = 59,154/x
  3. Step 3: Cross multiply
    28,419x = 59,154 × 59,154
  4. Step 4: Simplify right side
    28,419x = 3,499,195,716
  5. Step 5: Solve for x
    x = 3,499,195,716/28,419
  6. Step 6: Final answer
    x = 123,128.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.