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Finding the Third Proportional to 53,463 and 74,745

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Solution

The third proportional to 53,463 and 74,745 is: 104,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,463 : 74,745 = 74,745 : x
  2. Step 2: Convert to fraction form
    53,463/74,745 = 74,745/x
  3. Step 3: Cross multiply
    53,463x = 74,745 × 74,745
  4. Step 4: Simplify right side
    53,463x = 5,586,815,025
  5. Step 5: Solve for x
    x = 5,586,815,025/53,463
  6. Step 6: Final answer
    x = 104,498.72

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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.