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Finding the Third Proportional to 42,208 and 89,160

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Solution

The third proportional to 42,208 and 89,160 is: 188,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,208 : 89,160 = 89,160 : x
  2. Step 2: Convert to fraction form
    42,208/89,160 = 89,160/x
  3. Step 3: Cross multiply
    42,208x = 89,160 × 89,160
  4. Step 4: Simplify right side
    42,208x = 7,949,505,600
  5. Step 5: Solve for x
    x = 7,949,505,600/42,208
  6. Step 6: Final answer
    x = 188,341.21

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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.