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Finding the Third Proportional to 42,144 and 59,336

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Solution

The third proportional to 42,144 and 59,336 is: 83,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,144 : 59,336 = 59,336 : x
  2. Step 2: Convert to fraction form
    42,144/59,336 = 59,336/x
  3. Step 3: Cross multiply
    42,144x = 59,336 × 59,336
  4. Step 4: Simplify right side
    42,144x = 3,520,760,896
  5. Step 5: Solve for x
    x = 3,520,760,896/42,144
  6. Step 6: Final answer
    x = 83,541.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.