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Finding the Third Proportional to 102,751 and 157,042

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Solution

The third proportional to 102,751 and 157,042 is: 240,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,751 : 157,042 = 157,042 : x
  2. Step 2: Convert to fraction form
    102,751/157,042 = 157,042/x
  3. Step 3: Cross multiply
    102,751x = 157,042 × 157,042
  4. Step 4: Simplify right side
    102,751x = 24,662,189,764
  5. Step 5: Solve for x
    x = 24,662,189,764/102,751
  6. Step 6: Final answer
    x = 240,018.98

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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.