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Finding the Third Proportional to 66,214.50 and 85,018.50

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Solution

The third proportional to 66,214.50 and 85,018.50 is: 109,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,214.50 : 85,018.50 = 85,018.50 : x
  2. Step 2: Convert to fraction form
    66,214.50/85,018.50 = 85,018.50/x
  3. Step 3: Cross multiply
    66,214.50x = 85,018.50 × 85,018.50
  4. Step 4: Simplify right side
    66,214.50x = 7,228,145,342.25
  5. Step 5: Solve for x
    x = 7,228,145,342.25/66,214.50
  6. Step 6: Final answer
    x = 109,162.58

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.