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Finding the Third Proportional to 75,228 and 116,106

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Solution

The third proportional to 75,228 and 116,106 is: 179,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228 : 116,106 = 116,106 : x
  2. Step 2: Convert to fraction form
    75,228/116,106 = 116,106/x
  3. Step 3: Cross multiply
    75,228x = 116,106 × 116,106
  4. Step 4: Simplify right side
    75,228x = 13,480,603,236
  5. Step 5: Solve for x
    x = 13,480,603,236/75,228
  6. Step 6: Final answer
    x = 179,196.62

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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.