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Finding the Third Proportional to 75,664 and 114,548

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Solution

The third proportional to 75,664 and 114,548 is: 173,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,664 : 114,548 = 114,548 : x
  2. Step 2: Convert to fraction form
    75,664/114,548 = 114,548/x
  3. Step 3: Cross multiply
    75,664x = 114,548 × 114,548
  4. Step 4: Simplify right side
    75,664x = 13,121,244,304
  5. Step 5: Solve for x
    x = 13,121,244,304/75,664
  6. Step 6: Final answer
    x = 173,414.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.