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Finding the Third Proportional to 109,047 and 160,002

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Solution

The third proportional to 109,047 and 160,002 is: 234,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,047 : 160,002 = 160,002 : x
  2. Step 2: Convert to fraction form
    109,047/160,002 = 160,002/x
  3. Step 3: Cross multiply
    109,047x = 160,002 × 160,002
  4. Step 4: Simplify right side
    109,047x = 25,600,640,004
  5. Step 5: Solve for x
    x = 25,600,640,004/109,047
  6. Step 6: Final answer
    x = 234,767.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.