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Finding the Third Proportional to 148,726 and 212,013

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Solution

The third proportional to 148,726 and 212,013 is: 302,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,726 : 212,013 = 212,013 : x
  2. Step 2: Convert to fraction form
    148,726/212,013 = 212,013/x
  3. Step 3: Cross multiply
    148,726x = 212,013 × 212,013
  4. Step 4: Simplify right side
    148,726x = 44,949,512,169
  5. Step 5: Solve for x
    x = 44,949,512,169/148,726
  6. Step 6: Final answer
    x = 302,230.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.