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Finding the Third Proportional to 106,159.50 and 165,699

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Solution

The third proportional to 106,159.50 and 165,699 is: 258,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,159.50 : 165,699 = 165,699 : x
  2. Step 2: Convert to fraction form
    106,159.50/165,699 = 165,699/x
  3. Step 3: Cross multiply
    106,159.50x = 165,699 × 165,699
  4. Step 4: Simplify right side
    106,159.50x = 27,456,158,601
  5. Step 5: Solve for x
    x = 27,456,158,601/106,159.50
  6. Step 6: Final answer
    x = 258,631.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.