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Finding the Third Proportional to 75,090 and 162,573

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Solution

The third proportional to 75,090 and 162,573 is: 351,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,090 : 162,573 = 162,573 : x
  2. Step 2: Convert to fraction form
    75,090/162,573 = 162,573/x
  3. Step 3: Cross multiply
    75,090x = 162,573 × 162,573
  4. Step 4: Simplify right side
    75,090x = 26,429,980,329
  5. Step 5: Solve for x
    x = 26,429,980,329/75,090
  6. Step 6: Final answer
    x = 351,977.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.