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Finding the Third Proportional to 42,048 and 89,660

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Solution

The third proportional to 42,048 and 89,660 is: 191,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048 : 89,660 = 89,660 : x
  2. Step 2: Convert to fraction form
    42,048/89,660 = 89,660/x
  3. Step 3: Cross multiply
    42,048x = 89,660 × 89,660
  4. Step 4: Simplify right side
    42,048x = 8,038,915,600
  5. Step 5: Solve for x
    x = 8,038,915,600/42,048
  6. Step 6: Final answer
    x = 191,184.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.