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Finding the Third Proportional to 61,950.38 and 89,438.06

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Solution

The third proportional to 61,950.38 and 89,438.06 is: 129,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,950.38 : 89,438.06 = 89,438.06 : x
  2. Step 2: Convert to fraction form
    61,950.38/89,438.06 = 89,438.06/x
  3. Step 3: Cross multiply
    61,950.38x = 89,438.06 × 89,438.06
  4. Step 4: Simplify right side
    61,950.38x = 7,999,167,023.75
  5. Step 5: Solve for x
    x = 7,999,167,023.75/61,950.38
  6. Step 6: Final answer
    x = 129,122.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.