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Finding the Third Proportional to 108,972 and 165,088

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Solution

The third proportional to 108,972 and 165,088 is: 250,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,972 : 165,088 = 165,088 : x
  2. Step 2: Convert to fraction form
    108,972/165,088 = 165,088/x
  3. Step 3: Cross multiply
    108,972x = 165,088 × 165,088
  4. Step 4: Simplify right side
    108,972x = 27,254,047,744
  5. Step 5: Solve for x
    x = 27,254,047,744/108,972
  6. Step 6: Final answer
    x = 250,101.38

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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.