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Finding the Third Proportional to 51,553 and 77,467

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Solution

The third proportional to 51,553 and 77,467 is: 116,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,553 : 77,467 = 77,467 : x
  2. Step 2: Convert to fraction form
    51,553/77,467 = 77,467/x
  3. Step 3: Cross multiply
    51,553x = 77,467 × 77,467
  4. Step 4: Simplify right side
    51,553x = 6,001,136,089
  5. Step 5: Solve for x
    x = 6,001,136,089/51,553
  6. Step 6: Final answer
    x = 116,407.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.