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Finding the Third Proportional to 123,538.50 and 173,491.50

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Solution

The third proportional to 123,538.50 and 173,491.50 is: 243,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,538.50 : 173,491.50 = 173,491.50 : x
  2. Step 2: Convert to fraction form
    123,538.50/173,491.50 = 173,491.50/x
  3. Step 3: Cross multiply
    123,538.50x = 173,491.50 × 173,491.50
  4. Step 4: Simplify right side
    123,538.50x = 30,099,300,572.25
  5. Step 5: Solve for x
    x = 30,099,300,572.25/123,538.50
  6. Step 6: Final answer
    x = 243,643.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.