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Finding the Third Proportional to 104,547.38 and 166,355.38

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Solution

The third proportional to 104,547.38 and 166,355.38 is: 264,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,547.38 : 166,355.38 = 166,355.38 : x
  2. Step 2: Convert to fraction form
    104,547.38/166,355.38 = 166,355.38/x
  3. Step 3: Cross multiply
    104,547.38x = 166,355.38 × 166,355.38
  4. Step 4: Simplify right side
    104,547.38x = 27,674,110,791.39
  5. Step 5: Solve for x
    x = 27,674,110,791.39/104,547.38
  6. Step 6: Final answer
    x = 264,704.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.