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Finding the Third Proportional to 97,546 and 145,903

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Solution

The third proportional to 97,546 and 145,903 is: 218,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,546 : 145,903 = 145,903 : x
  2. Step 2: Convert to fraction form
    97,546/145,903 = 145,903/x
  3. Step 3: Cross multiply
    97,546x = 145,903 × 145,903
  4. Step 4: Simplify right side
    97,546x = 21,287,685,409
  5. Step 5: Solve for x
    x = 21,287,685,409/97,546
  6. Step 6: Final answer
    x = 218,232.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.