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Finding the Third Proportional to 102,588 and 157,467

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Solution

The third proportional to 102,588 and 157,467 is: 241,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,588 : 157,467 = 157,467 : x
  2. Step 2: Convert to fraction form
    102,588/157,467 = 157,467/x
  3. Step 3: Cross multiply
    102,588x = 157,467 × 157,467
  4. Step 4: Simplify right side
    102,588x = 24,795,856,089
  5. Step 5: Solve for x
    x = 24,795,856,089/102,588
  6. Step 6: Final answer
    x = 241,703.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.