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Finding the Third Proportional to 70,881 and 145,002

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Solution

The third proportional to 70,881 and 145,002 is: 296,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,881 : 145,002 = 145,002 : x
  2. Step 2: Convert to fraction form
    70,881/145,002 = 145,002/x
  3. Step 3: Cross multiply
    70,881x = 145,002 × 145,002
  4. Step 4: Simplify right side
    70,881x = 21,025,580,004
  5. Step 5: Solve for x
    x = 21,025,580,004/70,881
  6. Step 6: Final answer
    x = 296,632.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.