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Finding the Third Proportional to 28,420 and 59,156

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Solution

The third proportional to 28,420 and 59,156 is: 123,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,420 : 59,156 = 59,156 : x
  2. Step 2: Convert to fraction form
    28,420/59,156 = 59,156/x
  3. Step 3: Cross multiply
    28,420x = 59,156 × 59,156
  4. Step 4: Simplify right side
    28,420x = 3,499,432,336
  5. Step 5: Solve for x
    x = 3,499,432,336/28,420
  6. Step 6: Final answer
    x = 123,132.74

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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.