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Finding the Third Proportional to 56,927 and 97,814

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Solution

The third proportional to 56,927 and 97,814 is: 168,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,927 : 97,814 = 97,814 : x
  2. Step 2: Convert to fraction form
    56,927/97,814 = 97,814/x
  3. Step 3: Cross multiply
    56,927x = 97,814 × 97,814
  4. Step 4: Simplify right side
    56,927x = 9,567,578,596
  5. Step 5: Solve for x
    x = 9,567,578,596/56,927
  6. Step 6: Final answer
    x = 168,067.50

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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.