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Finding the Third Proportional to 61,467 and 94,932

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Solution

The third proportional to 61,467 and 94,932 is: 146,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,467 : 94,932 = 94,932 : x
  2. Step 2: Convert to fraction form
    61,467/94,932 = 94,932/x
  3. Step 3: Cross multiply
    61,467x = 94,932 × 94,932
  4. Step 4: Simplify right side
    61,467x = 9,012,084,624
  5. Step 5: Solve for x
    x = 9,012,084,624/61,467
  6. Step 6: Final answer
    x = 146,616.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.