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Finding the Third Proportional to 55,927.50 and 109,018.50

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Solution

The third proportional to 55,927.50 and 109,018.50 is: 212,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,927.50 : 109,018.50 = 109,018.50 : x
  2. Step 2: Convert to fraction form
    55,927.50/109,018.50 = 109,018.50/x
  3. Step 3: Cross multiply
    55,927.50x = 109,018.50 × 109,018.50
  4. Step 4: Simplify right side
    55,927.50x = 11,885,033,342.25
  5. Step 5: Solve for x
    x = 11,885,033,342.25/55,927.50
  6. Step 6: Final answer
    x = 212,507.86

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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.