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Finding the Third Proportional to 79,618 and 120,323

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Solution

The third proportional to 79,618 and 120,323 is: 181,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,618 : 120,323 = 120,323 : x
  2. Step 2: Convert to fraction form
    79,618/120,323 = 120,323/x
  3. Step 3: Cross multiply
    79,618x = 120,323 × 120,323
  4. Step 4: Simplify right side
    79,618x = 14,477,624,329
  5. Step 5: Solve for x
    x = 14,477,624,329/79,618
  6. Step 6: Final answer
    x = 181,838.58

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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.