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Finding the Third Proportional to 56,929 and 97,817

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Solution

The third proportional to 56,929 and 97,817 is: 168,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,929 : 97,817 = 97,817 : x
  2. Step 2: Convert to fraction form
    56,929/97,817 = 97,817/x
  3. Step 3: Cross multiply
    56,929x = 97,817 × 97,817
  4. Step 4: Simplify right side
    56,929x = 9,568,165,489
  5. Step 5: Solve for x
    x = 9,568,165,489/56,929
  6. Step 6: Final answer
    x = 168,071.91

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.