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Finding the Third Proportional to 106,956 and 169,506

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Solution

The third proportional to 106,956 and 169,506 is: 268,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,956 : 169,506 = 169,506 : x
  2. Step 2: Convert to fraction form
    106,956/169,506 = 169,506/x
  3. Step 3: Cross multiply
    106,956x = 169,506 × 169,506
  4. Step 4: Simplify right side
    106,956x = 28,732,284,036
  5. Step 5: Solve for x
    x = 28,732,284,036/106,956
  6. Step 6: Final answer
    x = 268,636.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.