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Finding the Third Proportional to 148,868 and 202,154

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Solution

The third proportional to 148,868 and 202,154 is: 274,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,868 : 202,154 = 202,154 : x
  2. Step 2: Convert to fraction form
    148,868/202,154 = 202,154/x
  3. Step 3: Cross multiply
    148,868x = 202,154 × 202,154
  4. Step 4: Simplify right side
    148,868x = 40,866,239,716
  5. Step 5: Solve for x
    x = 40,866,239,716/148,868
  6. Step 6: Final answer
    x = 274,513.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.