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Finding the Third Proportional to 106,526 and 165,609

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Solution

The third proportional to 106,526 and 165,609 is: 257,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,526 : 165,609 = 165,609 : x
  2. Step 2: Convert to fraction form
    106,526/165,609 = 165,609/x
  3. Step 3: Cross multiply
    106,526x = 165,609 × 165,609
  4. Step 4: Simplify right side
    106,526x = 27,426,340,881
  5. Step 5: Solve for x
    x = 27,426,340,881/106,526
  6. Step 6: Final answer
    x = 257,461.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.