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Finding the Third Proportional to 52,176.66 and 111,100.36

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Solution

The third proportional to 52,176.66 and 111,100.36 is: 236,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176.66 : 111,100.36 = 111,100.36 : x
  2. Step 2: Convert to fraction form
    52,176.66/111,100.36 = 111,100.36/x
  3. Step 3: Cross multiply
    52,176.66x = 111,100.36 × 111,100.36
  4. Step 4: Simplify right side
    52,176.66x = 12,343,289,853.25
  5. Step 5: Solve for x
    x = 12,343,289,853.25/52,176.66
  6. Step 6: Final answer
    x = 236,567.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.