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Finding the Third Proportional to 77,643 and 167,164

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Solution

The third proportional to 77,643 and 167,164 is: 359,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643 : 167,164 = 167,164 : x
  2. Step 2: Convert to fraction form
    77,643/167,164 = 167,164/x
  3. Step 3: Cross multiply
    77,643x = 167,164 × 167,164
  4. Step 4: Simplify right side
    77,643x = 27,943,802,896
  5. Step 5: Solve for x
    x = 27,943,802,896/77,643
  6. Step 6: Final answer
    x = 359,901.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.