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Finding the Third Proportional to 56,644.50 and 132,295.50

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Solution

The third proportional to 56,644.50 and 132,295.50 is: 308,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,644.50 : 132,295.50 = 132,295.50 : x
  2. Step 2: Convert to fraction form
    56,644.50/132,295.50 = 132,295.50/x
  3. Step 3: Cross multiply
    56,644.50x = 132,295.50 × 132,295.50
  4. Step 4: Simplify right side
    56,644.50x = 17,502,099,320.25
  5. Step 5: Solve for x
    x = 17,502,099,320.25/56,644.50
  6. Step 6: Final answer
    x = 308,981.44

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.