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Finding the Third Proportional to 42,624 and 90,104

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Solution

The third proportional to 42,624 and 90,104 is: 190,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,624 : 90,104 = 90,104 : x
  2. Step 2: Convert to fraction form
    42,624/90,104 = 90,104/x
  3. Step 3: Cross multiply
    42,624x = 90,104 × 90,104
  4. Step 4: Simplify right side
    42,624x = 8,118,730,816
  5. Step 5: Solve for x
    x = 8,118,730,816/42,624
  6. Step 6: Final answer
    x = 190,473.23

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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.