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Finding the Third Proportional to 77,578 and 160,136

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Solution

The third proportional to 77,578 and 160,136 is: 330,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,578 : 160,136 = 160,136 : x
  2. Step 2: Convert to fraction form
    77,578/160,136 = 160,136/x
  3. Step 3: Cross multiply
    77,578x = 160,136 × 160,136
  4. Step 4: Simplify right side
    77,578x = 25,643,538,496
  5. Step 5: Solve for x
    x = 25,643,538,496/77,578
  6. Step 6: Final answer
    x = 330,551.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.