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Finding the Third Proportional to 72,034 and 149,844

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Solution

The third proportional to 72,034 and 149,844 is: 311,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,034 : 149,844 = 149,844 : x
  2. Step 2: Convert to fraction form
    72,034/149,844 = 149,844/x
  3. Step 3: Cross multiply
    72,034x = 149,844 × 149,844
  4. Step 4: Simplify right side
    72,034x = 22,453,224,336
  5. Step 5: Solve for x
    x = 22,453,224,336/72,034
  6. Step 6: Final answer
    x = 311,703.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.