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Finding the Third Proportional to 64,820.50 and 105,845.50

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Solution

The third proportional to 64,820.50 and 105,845.50 is: 172,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,820.50 : 105,845.50 = 105,845.50 : x
  2. Step 2: Convert to fraction form
    64,820.50/105,845.50 = 105,845.50/x
  3. Step 3: Cross multiply
    64,820.50x = 105,845.50 × 105,845.50
  4. Step 4: Simplify right side
    64,820.50x = 11,203,269,870.25
  5. Step 5: Solve for x
    x = 11,203,269,870.25/64,820.50
  6. Step 6: Final answer
    x = 172,835.29

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.