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Finding the Third Proportional to 55,923.75 and 109,012.50

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Solution

The third proportional to 55,923.75 and 109,012.50 is: 212,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,923.75 : 109,012.50 = 109,012.50 : x
  2. Step 2: Convert to fraction form
    55,923.75/109,012.50 = 109,012.50/x
  3. Step 3: Cross multiply
    55,923.75x = 109,012.50 × 109,012.50
  4. Step 4: Simplify right side
    55,923.75x = 11,883,725,156.25
  5. Step 5: Solve for x
    x = 11,883,725,156.25/55,923.75
  6. Step 6: Final answer
    x = 212,498.72

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.