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Finding the Third Proportional to 124,147.50 and 167,665.50

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Solution

The third proportional to 124,147.50 and 167,665.50 is: 226,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,147.50 : 167,665.50 = 167,665.50 : x
  2. Step 2: Convert to fraction form
    124,147.50/167,665.50 = 167,665.50/x
  3. Step 3: Cross multiply
    124,147.50x = 167,665.50 × 167,665.50
  4. Step 4: Simplify right side
    124,147.50x = 28,111,719,890.25
  5. Step 5: Solve for x
    x = 28,111,719,890.25/124,147.50
  6. Step 6: Final answer
    x = 226,438.07

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