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Finding the Third Proportional to 74,757 and 114,324

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Solution

The third proportional to 74,757 and 114,324 is: 174,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,757 : 114,324 = 114,324 : x
  2. Step 2: Convert to fraction form
    74,757/114,324 = 114,324/x
  3. Step 3: Cross multiply
    74,757x = 114,324 × 114,324
  4. Step 4: Simplify right side
    74,757x = 13,069,976,976
  5. Step 5: Solve for x
    x = 13,069,976,976/74,757
  6. Step 6: Final answer
    x = 174,832.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.