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Finding the Third Proportional to 47,953 and 75,224

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Solution

The third proportional to 47,953 and 75,224 is: 118,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,953 : 75,224 = 75,224 : x
  2. Step 2: Convert to fraction form
    47,953/75,224 = 75,224/x
  3. Step 3: Cross multiply
    47,953x = 75,224 × 75,224
  4. Step 4: Simplify right side
    47,953x = 5,658,650,176
  5. Step 5: Solve for x
    x = 5,658,650,176/47,953
  6. Step 6: Final answer
    x = 118,004.09

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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.