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Finding the Third Proportional to 113,200 and 153,187

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Solution

The third proportional to 113,200 and 153,187 is: 207,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,200 : 153,187 = 153,187 : x
  2. Step 2: Convert to fraction form
    113,200/153,187 = 153,187/x
  3. Step 3: Cross multiply
    113,200x = 153,187 × 153,187
  4. Step 4: Simplify right side
    113,200x = 23,466,256,969
  5. Step 5: Solve for x
    x = 23,466,256,969/113,200
  6. Step 6: Final answer
    x = 207,299.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.