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Finding the Third Proportional to 73,906 and 141,008

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Solution

The third proportional to 73,906 and 141,008 is: 269,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,906 : 141,008 = 141,008 : x
  2. Step 2: Convert to fraction form
    73,906/141,008 = 141,008/x
  3. Step 3: Cross multiply
    73,906x = 141,008 × 141,008
  4. Step 4: Simplify right side
    73,906x = 19,883,256,064
  5. Step 5: Solve for x
    x = 19,883,256,064/73,906
  6. Step 6: Final answer
    x = 269,034.40

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.