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Finding the Third Proportional to 75,104 and 115,484

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Solution

The third proportional to 75,104 and 115,484 is: 177,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104 : 115,484 = 115,484 : x
  2. Step 2: Convert to fraction form
    75,104/115,484 = 115,484/x
  3. Step 3: Cross multiply
    75,104x = 115,484 × 115,484
  4. Step 4: Simplify right side
    75,104x = 13,336,554,256
  5. Step 5: Solve for x
    x = 13,336,554,256/75,104
  6. Step 6: Final answer
    x = 177,574.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.