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Finding the Third Proportional to 113,325.56 and 153,999.09

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Solution

The third proportional to 113,325.56 and 153,999.09 is: 209,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,325.56 : 153,999.09 = 153,999.09 : x
  2. Step 2: Convert to fraction form
    113,325.56/153,999.09 = 153,999.09/x
  3. Step 3: Cross multiply
    113,325.56x = 153,999.09 × 153,999.09
  4. Step 4: Simplify right side
    113,325.56x = 23,715,720,875.82
  5. Step 5: Solve for x
    x = 23,715,720,875.82/113,325.56
  6. Step 6: Final answer
    x = 209,270.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.