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Finding the Third Proportional to 75,184 and 174,823

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Solution

The third proportional to 75,184 and 174,823 is: 406,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,184 : 174,823 = 174,823 : x
  2. Step 2: Convert to fraction form
    75,184/174,823 = 174,823/x
  3. Step 3: Cross multiply
    75,184x = 174,823 × 174,823
  4. Step 4: Simplify right side
    75,184x = 30,563,081,329
  5. Step 5: Solve for x
    x = 30,563,081,329/75,184
  6. Step 6: Final answer
    x = 406,510.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.