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Finding the Third Proportional to 75,056 and 160,616

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Solution

The third proportional to 75,056 and 160,616 is: 343,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,056 : 160,616 = 160,616 : x
  2. Step 2: Convert to fraction form
    75,056/160,616 = 160,616/x
  3. Step 3: Cross multiply
    75,056x = 160,616 × 160,616
  4. Step 4: Simplify right side
    75,056x = 25,797,499,456
  5. Step 5: Solve for x
    x = 25,797,499,456/75,056
  6. Step 6: Final answer
    x = 343,710.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.