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Finding the Third Proportional to 107,784 and 169,956

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Solution

The third proportional to 107,784 and 169,956 is: 267,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,784 : 169,956 = 169,956 : x
  2. Step 2: Convert to fraction form
    107,784/169,956 = 169,956/x
  3. Step 3: Cross multiply
    107,784x = 169,956 × 169,956
  4. Step 4: Simplify right side
    107,784x = 28,885,041,936
  5. Step 5: Solve for x
    x = 28,885,041,936/107,784
  6. Step 6: Final answer
    x = 267,990.07

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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.