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Finding the Third Proportional to 53,006 and 74,295

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Solution

The third proportional to 53,006 and 74,295 is: 104,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006 : 74,295 = 74,295 : x
  2. Step 2: Convert to fraction form
    53,006/74,295 = 74,295/x
  3. Step 3: Cross multiply
    53,006x = 74,295 × 74,295
  4. Step 4: Simplify right side
    53,006x = 5,519,747,025
  5. Step 5: Solve for x
    x = 5,519,747,025/53,006
  6. Step 6: Final answer
    x = 104,134.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.