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Finding the Third Proportional to 73,654 and 98,817

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Solution

The third proportional to 73,654 and 98,817 is: 132,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,654 : 98,817 = 98,817 : x
  2. Step 2: Convert to fraction form
    73,654/98,817 = 98,817/x
  3. Step 3: Cross multiply
    73,654x = 98,817 × 98,817
  4. Step 4: Simplify right side
    73,654x = 9,764,799,489
  5. Step 5: Solve for x
    x = 9,764,799,489/73,654
  6. Step 6: Final answer
    x = 132,576.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.