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Finding the Third Proportional to 113,857.50 and 167,094.75

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Solution

The third proportional to 113,857.50 and 167,094.75 is: 245,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,857.50 : 167,094.75 = 167,094.75 : x
  2. Step 2: Convert to fraction form
    113,857.50/167,094.75 = 167,094.75/x
  3. Step 3: Cross multiply
    113,857.50x = 167,094.75 × 167,094.75
  4. Step 4: Simplify right side
    113,857.50x = 27,920,655,477.56
  5. Step 5: Solve for x
    x = 27,920,655,477.56/113,857.50
  6. Step 6: Final answer
    x = 245,224.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.