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Finding the Third Proportional to 108,699 and 164,580

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Solution

The third proportional to 108,699 and 164,580 is: 249,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,699 : 164,580 = 164,580 : x
  2. Step 2: Convert to fraction form
    108,699/164,580 = 164,580/x
  3. Step 3: Cross multiply
    108,699x = 164,580 × 164,580
  4. Step 4: Simplify right side
    108,699x = 27,086,576,400
  5. Step 5: Solve for x
    x = 27,086,576,400/108,699
  6. Step 6: Final answer
    x = 249,188.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.