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Finding the Third Proportional to 77,164 and 160,472

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Solution

The third proportional to 77,164 and 160,472 is: 333,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164 : 160,472 = 160,472 : x
  2. Step 2: Convert to fraction form
    77,164/160,472 = 160,472/x
  3. Step 3: Cross multiply
    77,164x = 160,472 × 160,472
  4. Step 4: Simplify right side
    77,164x = 25,751,262,784
  5. Step 5: Solve for x
    x = 25,751,262,784/77,164
  6. Step 6: Final answer
    x = 333,721.20

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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.