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Finding the Third Proportional to 47,952.63 and 75,222.26

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Solution

The third proportional to 47,952.63 and 75,222.26 is: 117,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952.63 : 75,222.26 = 75,222.26 : x
  2. Step 2: Convert to fraction form
    47,952.63/75,222.26 = 75,222.26/x
  3. Step 3: Cross multiply
    47,952.63x = 75,222.26 × 75,222.26
  4. Step 4: Simplify right side
    47,952.63x = 5,658,388,951.92
  5. Step 5: Solve for x
    x = 5,658,388,951.92/47,952.63
  6. Step 6: Final answer
    x = 117,999.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.