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Finding the Third Proportional to 111,732 and 165,425.06

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Solution

The third proportional to 111,732 and 165,425.06 is: 244,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,732 : 165,425.06 = 165,425.06 : x
  2. Step 2: Convert to fraction form
    111,732/165,425.06 = 165,425.06/x
  3. Step 3: Cross multiply
    111,732x = 165,425.06 × 165,425.06
  4. Step 4: Simplify right side
    111,732x = 27,365,451,303.13
  5. Step 5: Solve for x
    x = 27,365,451,303.13/111,732
  6. Step 6: Final answer
    x = 244,920.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.