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Finding the Third Proportional to 64,170 and 103,384.50

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Solution

The third proportional to 64,170 and 103,384.50 is: 166,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,170 : 103,384.50 = 103,384.50 : x
  2. Step 2: Convert to fraction form
    64,170/103,384.50 = 103,384.50/x
  3. Step 3: Cross multiply
    64,170x = 103,384.50 × 103,384.50
  4. Step 4: Simplify right side
    64,170x = 10,688,354,840.25
  5. Step 5: Solve for x
    x = 10,688,354,840.25/64,170
  6. Step 6: Final answer
    x = 166,563.11

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.