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Finding the Third Proportional to 106,560 and 165,564

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Solution

The third proportional to 106,560 and 165,564 is: 257,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,560 : 165,564 = 165,564 : x
  2. Step 2: Convert to fraction form
    106,560/165,564 = 165,564/x
  3. Step 3: Cross multiply
    106,560x = 165,564 × 165,564
  4. Step 4: Simplify right side
    106,560x = 27,411,438,096
  5. Step 5: Solve for x
    x = 27,411,438,096/106,560
  6. Step 6: Final answer
    x = 257,239.47

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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.