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Finding the Third Proportional to 28,205 and 60,298

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Solution

The third proportional to 28,205 and 60,298 is: 128,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205 : 60,298 = 60,298 : x
  2. Step 2: Convert to fraction form
    28,205/60,298 = 60,298/x
  3. Step 3: Cross multiply
    28,205x = 60,298 × 60,298
  4. Step 4: Simplify right side
    28,205x = 3,635,848,804
  5. Step 5: Solve for x
    x = 3,635,848,804/28,205
  6. Step 6: Final answer
    x = 128,907.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.