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Finding the Third Proportional to 77,946 and 171,444

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Solution

The third proportional to 77,946 and 171,444 is: 377,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946 : 171,444 = 171,444 : x
  2. Step 2: Convert to fraction form
    77,946/171,444 = 171,444/x
  3. Step 3: Cross multiply
    77,946x = 171,444 × 171,444
  4. Step 4: Simplify right side
    77,946x = 29,393,045,136
  5. Step 5: Solve for x
    x = 29,393,045,136/77,946
  6. Step 6: Final answer
    x = 377,094.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.