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Finding the Third Proportional to 77,102 and 160,360

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Solution

The third proportional to 77,102 and 160,360 is: 333,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102 : 160,360 = 160,360 : x
  2. Step 2: Convert to fraction form
    77,102/160,360 = 160,360/x
  3. Step 3: Cross multiply
    77,102x = 160,360 × 160,360
  4. Step 4: Simplify right side
    77,102x = 25,715,329,600
  5. Step 5: Solve for x
    x = 25,715,329,600/77,102
  6. Step 6: Final answer
    x = 333,523.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.