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Finding the Third Proportional to 73,865 and 161,263

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Solution

The third proportional to 73,865 and 161,263 is: 352,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,865 : 161,263 = 161,263 : x
  2. Step 2: Convert to fraction form
    73,865/161,263 = 161,263/x
  3. Step 3: Cross multiply
    73,865x = 161,263 × 161,263
  4. Step 4: Simplify right side
    73,865x = 26,005,755,169
  5. Step 5: Solve for x
    x = 26,005,755,169/73,865
  6. Step 6: Final answer
    x = 352,071.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.