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Finding the Third Proportional to 44,006 and 96,040

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Solution

The third proportional to 44,006 and 96,040 is: 209,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,006 : 96,040 = 96,040 : x
  2. Step 2: Convert to fraction form
    44,006/96,040 = 96,040/x
  3. Step 3: Cross multiply
    44,006x = 96,040 × 96,040
  4. Step 4: Simplify right side
    44,006x = 9,223,681,600
  5. Step 5: Solve for x
    x = 9,223,681,600/44,006
  6. Step 6: Final answer
    x = 209,600.55

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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.