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Finding the Third Proportional to 77,080 and 167,263

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Solution

The third proportional to 77,080 and 167,263 is: 362,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080 : 167,263 = 167,263 : x
  2. Step 2: Convert to fraction form
    77,080/167,263 = 167,263/x
  3. Step 3: Cross multiply
    77,080x = 167,263 × 167,263
  4. Step 4: Simplify right side
    77,080x = 27,976,911,169
  5. Step 5: Solve for x
    x = 27,976,911,169/77,080
  6. Step 6: Final answer
    x = 362,959.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.