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Finding the Third Proportional to 106,588 and 164,026

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Solution

The third proportional to 106,588 and 164,026 is: 252,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,588 : 164,026 = 164,026 : x
  2. Step 2: Convert to fraction form
    106,588/164,026 = 164,026/x
  3. Step 3: Cross multiply
    106,588x = 164,026 × 164,026
  4. Step 4: Simplify right side
    106,588x = 26,904,528,676
  5. Step 5: Solve for x
    x = 26,904,528,676/106,588
  6. Step 6: Final answer
    x = 252,416.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.