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Finding the Third Proportional to 51,773 and 73,413

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Solution

The third proportional to 51,773 and 73,413 is: 104,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773 : 73,413 = 73,413 : x
  2. Step 2: Convert to fraction form
    51,773/73,413 = 73,413/x
  3. Step 3: Cross multiply
    51,773x = 73,413 × 73,413
  4. Step 4: Simplify right side
    51,773x = 5,389,468,569
  5. Step 5: Solve for x
    x = 5,389,468,569/51,773
  6. Step 6: Final answer
    x = 104,098.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.