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Finding the Third Proportional to 28,156 and 61,901

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Solution

The third proportional to 28,156 and 61,901 is: 136,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,156 : 61,901 = 61,901 : x
  2. Step 2: Convert to fraction form
    28,156/61,901 = 61,901/x
  3. Step 3: Cross multiply
    28,156x = 61,901 × 61,901
  4. Step 4: Simplify right side
    28,156x = 3,831,733,801
  5. Step 5: Solve for x
    x = 3,831,733,801/28,156
  6. Step 6: Final answer
    x = 136,089.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.