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Finding the Third Proportional to 104,010 and 148,638

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Solution

The third proportional to 104,010 and 148,638 is: 212,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,010 : 148,638 = 148,638 : x
  2. Step 2: Convert to fraction form
    104,010/148,638 = 148,638/x
  3. Step 3: Cross multiply
    104,010x = 148,638 × 148,638
  4. Step 4: Simplify right side
    104,010x = 22,093,255,044
  5. Step 5: Solve for x
    x = 22,093,255,044/104,010
  6. Step 6: Final answer
    x = 212,414.72

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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.