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Finding the Third Proportional to 91,434 and 142,497

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Solution

The third proportional to 91,434 and 142,497 is: 222,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,434 : 142,497 = 142,497 : x
  2. Step 2: Convert to fraction form
    91,434/142,497 = 142,497/x
  3. Step 3: Cross multiply
    91,434x = 142,497 × 142,497
  4. Step 4: Simplify right side
    91,434x = 20,305,395,009
  5. Step 5: Solve for x
    x = 20,305,395,009/91,434
  6. Step 6: Final answer
    x = 222,077.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.