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Finding the Third Proportional to 92,318 and 144,634

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Solution

The third proportional to 92,318 and 144,634 is: 226,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,318 : 144,634 = 144,634 : x
  2. Step 2: Convert to fraction form
    92,318/144,634 = 144,634/x
  3. Step 3: Cross multiply
    92,318x = 144,634 × 144,634
  4. Step 4: Simplify right side
    92,318x = 20,918,993,956
  5. Step 5: Solve for x
    x = 20,918,993,956/92,318
  6. Step 6: Final answer
    x = 226,597.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.