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Finding the Third Proportional to 108,495.70 and 165,870.28

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Solution

The third proportional to 108,495.70 and 165,870.28 is: 253,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,495.70 : 165,870.28 = 165,870.28 : x
  2. Step 2: Convert to fraction form
    108,495.70/165,870.28 = 165,870.28/x
  3. Step 3: Cross multiply
    108,495.70x = 165,870.28 × 165,870.28
  4. Step 4: Simplify right side
    108,495.70x = 27,512,950,201.95
  5. Step 5: Solve for x
    x = 27,512,950,201.95/108,495.70
  6. Step 6: Final answer
    x = 253,585.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.