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Finding the Third Proportional to 47,356 and 73,524

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Solution

The third proportional to 47,356 and 73,524 is: 114,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,356 : 73,524 = 73,524 : x
  2. Step 2: Convert to fraction form
    47,356/73,524 = 73,524/x
  3. Step 3: Cross multiply
    47,356x = 73,524 × 73,524
  4. Step 4: Simplify right side
    47,356x = 5,405,778,576
  5. Step 5: Solve for x
    x = 5,405,778,576/47,356
  6. Step 6: Final answer
    x = 114,151.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.