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Finding the Third Proportional to 77,964 and 171,480

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Solution

The third proportional to 77,964 and 171,480 is: 377,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,964 : 171,480 = 171,480 : x
  2. Step 2: Convert to fraction form
    77,964/171,480 = 171,480/x
  3. Step 3: Cross multiply
    77,964x = 171,480 × 171,480
  4. Step 4: Simplify right side
    77,964x = 29,405,390,400
  5. Step 5: Solve for x
    x = 29,405,390,400/77,964
  6. Step 6: Final answer
    x = 377,166.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.