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Finding the Third Proportional to 107,046 and 166,695.75

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Solution

The third proportional to 107,046 and 166,695.75 is: 259,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,046 : 166,695.75 = 166,695.75 : x
  2. Step 2: Convert to fraction form
    107,046/166,695.75 = 166,695.75/x
  3. Step 3: Cross multiply
    107,046x = 166,695.75 × 166,695.75
  4. Step 4: Simplify right side
    107,046x = 27,787,473,068.06
  5. Step 5: Solve for x
    x = 27,787,473,068.06/107,046
  6. Step 6: Final answer
    x = 259,584.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.