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Finding the Third Proportional to 113,834.25 and 167,060.25

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Solution

The third proportional to 113,834.25 and 167,060.25 is: 245,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,834.25 : 167,060.25 = 167,060.25 : x
  2. Step 2: Convert to fraction form
    113,834.25/167,060.25 = 167,060.25/x
  3. Step 3: Cross multiply
    113,834.25x = 167,060.25 × 167,060.25
  4. Step 4: Simplify right side
    113,834.25x = 27,909,127,130.06
  5. Step 5: Solve for x
    x = 27,909,127,130.06/113,834.25
  6. Step 6: Final answer
    x = 245,173.37

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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.