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Finding the Third Proportional to 42,513 and 89,635.50

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Solution

The third proportional to 42,513 and 89,635.50 is: 188,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,513 : 89,635.50 = 89,635.50 : x
  2. Step 2: Convert to fraction form
    42,513/89,635.50 = 89,635.50/x
  3. Step 3: Cross multiply
    42,513x = 89,635.50 × 89,635.50
  4. Step 4: Simplify right side
    42,513x = 8,034,522,860.25
  5. Step 5: Solve for x
    x = 8,034,522,860.25/42,513
  6. Step 6: Final answer
    x = 188,989.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.