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Finding the Third Proportional to 113,556 and 173,088

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Solution

The third proportional to 113,556 and 173,088 is: 263,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,556 : 173,088 = 173,088 : x
  2. Step 2: Convert to fraction form
    113,556/173,088 = 173,088/x
  3. Step 3: Cross multiply
    113,556x = 173,088 × 173,088
  4. Step 4: Simplify right side
    113,556x = 29,959,455,744
  5. Step 5: Solve for x
    x = 29,959,455,744/113,556
  6. Step 6: Final answer
    x = 263,829.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.