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Finding the Third Proportional to 45,732 and 99,144

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Solution

The third proportional to 45,732 and 99,144 is: 214,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,732 : 99,144 = 99,144 : x
  2. Step 2: Convert to fraction form
    45,732/99,144 = 99,144/x
  3. Step 3: Cross multiply
    45,732x = 99,144 × 99,144
  4. Step 4: Simplify right side
    45,732x = 9,829,532,736
  5. Step 5: Solve for x
    x = 9,829,532,736/45,732
  6. Step 6: Final answer
    x = 214,937.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.