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Finding the Third Proportional to 61,689.94 and 133,950.38

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Solution

The third proportional to 61,689.94 and 133,950.38 is: 290,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,689.94 : 133,950.38 = 133,950.38 : x
  2. Step 2: Convert to fraction form
    61,689.94/133,950.38 = 133,950.38/x
  3. Step 3: Cross multiply
    61,689.94x = 133,950.38 × 133,950.38
  4. Step 4: Simplify right side
    61,689.94x = 17,942,702,962.64
  5. Step 5: Solve for x
    x = 17,942,702,962.64/61,689.94
  6. Step 6: Final answer
    x = 290,852.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.