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Finding the Third Proportional to 42,329 and 90,495

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Solution

The third proportional to 42,329 and 90,495 is: 193,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,329 : 90,495 = 90,495 : x
  2. Step 2: Convert to fraction form
    42,329/90,495 = 90,495/x
  3. Step 3: Cross multiply
    42,329x = 90,495 × 90,495
  4. Step 4: Simplify right side
    42,329x = 8,189,345,025
  5. Step 5: Solve for x
    x = 8,189,345,025/42,329
  6. Step 6: Final answer
    x = 193,468.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.