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Finding the Third Proportional to 108,927 and 180,010

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Solution

The third proportional to 108,927 and 180,010 is: 297,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,927 : 180,010 = 180,010 : x
  2. Step 2: Convert to fraction form
    108,927/180,010 = 180,010/x
  3. Step 3: Cross multiply
    108,927x = 180,010 × 180,010
  4. Step 4: Simplify right side
    108,927x = 32,403,600,100
  5. Step 5: Solve for x
    x = 32,403,600,100/108,927
  6. Step 6: Final answer
    x = 297,479.96

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.