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Finding the Third Proportional to 108,712.13 and 164,571.75

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Solution

The third proportional to 108,712.13 and 164,571.75 is: 249,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,712.13 : 164,571.75 = 164,571.75 : x
  2. Step 2: Convert to fraction form
    108,712.13/164,571.75 = 164,571.75/x
  3. Step 3: Cross multiply
    108,712.13x = 164,571.75 × 164,571.75
  4. Step 4: Simplify right side
    108,712.13x = 27,083,860,898.06
  5. Step 5: Solve for x
    x = 27,083,860,898.06/108,712.13
  6. Step 6: Final answer
    x = 249,133.76

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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.