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Finding the Third Proportional to 77,526 and 167,444

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Solution

The third proportional to 77,526 and 167,444 is: 361,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,526 : 167,444 = 167,444 : x
  2. Step 2: Convert to fraction form
    77,526/167,444 = 167,444/x
  3. Step 3: Cross multiply
    77,526x = 167,444 × 167,444
  4. Step 4: Simplify right side
    77,526x = 28,037,493,136
  5. Step 5: Solve for x
    x = 28,037,493,136/77,526
  6. Step 6: Final answer
    x = 361,652.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.