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Finding the Third Proportional to 61,490.25 and 133,429.50

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Solution

The third proportional to 61,490.25 and 133,429.50 is: 289,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,490.25 : 133,429.50 = 133,429.50 : x
  2. Step 2: Convert to fraction form
    61,490.25/133,429.50 = 133,429.50/x
  3. Step 3: Cross multiply
    61,490.25x = 133,429.50 × 133,429.50
  4. Step 4: Simplify right side
    61,490.25x = 17,803,431,470.25
  5. Step 5: Solve for x
    x = 17,803,431,470.25/61,490.25
  6. Step 6: Final answer
    x = 289,532.59

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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.