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Finding the Third Proportional to 42,219 and 61,336

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Solution

The third proportional to 42,219 and 61,336 is: 89,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,219 : 61,336 = 61,336 : x
  2. Step 2: Convert to fraction form
    42,219/61,336 = 61,336/x
  3. Step 3: Cross multiply
    42,219x = 61,336 × 61,336
  4. Step 4: Simplify right side
    42,219x = 3,762,104,896
  5. Step 5: Solve for x
    x = 3,762,104,896/42,219
  6. Step 6: Final answer
    x = 89,109.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.