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Finding the Third Proportional to 77,184 and 118,851

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Solution

The third proportional to 77,184 and 118,851 is: 183,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,184 : 118,851 = 118,851 : x
  2. Step 2: Convert to fraction form
    77,184/118,851 = 118,851/x
  3. Step 3: Cross multiply
    77,184x = 118,851 × 118,851
  4. Step 4: Simplify right side
    77,184x = 14,125,560,201
  5. Step 5: Solve for x
    x = 14,125,560,201/77,184
  6. Step 6: Final answer
    x = 183,011.51

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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.