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Finding the Third Proportional to 106,581 and 164,246

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Solution

The third proportional to 106,581 and 164,246 is: 253,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,581 : 164,246 = 164,246 : x
  2. Step 2: Convert to fraction form
    106,581/164,246 = 164,246/x
  3. Step 3: Cross multiply
    106,581x = 164,246 × 164,246
  4. Step 4: Simplify right side
    106,581x = 26,976,748,516
  5. Step 5: Solve for x
    x = 26,976,748,516/106,581
  6. Step 6: Final answer
    x = 253,110.30

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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.