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Finding the Third Proportional to 113,202 and 174,555

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Solution

The third proportional to 113,202 and 174,555 is: 269,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,202 : 174,555 = 174,555 : x
  2. Step 2: Convert to fraction form
    113,202/174,555 = 174,555/x
  3. Step 3: Cross multiply
    113,202x = 174,555 × 174,555
  4. Step 4: Simplify right side
    113,202x = 30,469,448,025
  5. Step 5: Solve for x
    x = 30,469,448,025/113,202
  6. Step 6: Final answer
    x = 269,159.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.