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Finding the Third Proportional to 75,011 and 160,390

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Solution

The third proportional to 75,011 and 160,390 is: 342,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,011 : 160,390 = 160,390 : x
  2. Step 2: Convert to fraction form
    75,011/160,390 = 160,390/x
  3. Step 3: Cross multiply
    75,011x = 160,390 × 160,390
  4. Step 4: Simplify right side
    75,011x = 25,724,952,100
  5. Step 5: Solve for x
    x = 25,724,952,100/75,011
  6. Step 6: Final answer
    x = 342,949.06

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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.