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Finding the Third Proportional to 61,306 and 95,512

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Solution

The third proportional to 61,306 and 95,512 is: 148,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,306 : 95,512 = 95,512 : x
  2. Step 2: Convert to fraction form
    61,306/95,512 = 95,512/x
  3. Step 3: Cross multiply
    61,306x = 95,512 × 95,512
  4. Step 4: Simplify right side
    61,306x = 9,122,542,144
  5. Step 5: Solve for x
    x = 9,122,542,144/61,306
  6. Step 6: Final answer
    x = 148,803.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.