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Finding the Third Proportional to 67,983 and 105,004.50

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Solution

The third proportional to 67,983 and 105,004.50 is: 162,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,983 : 105,004.50 = 105,004.50 : x
  2. Step 2: Convert to fraction form
    67,983/105,004.50 = 105,004.50/x
  3. Step 3: Cross multiply
    67,983x = 105,004.50 × 105,004.50
  4. Step 4: Simplify right side
    67,983x = 11,025,945,020.25
  5. Step 5: Solve for x
    x = 11,025,945,020.25/67,983
  6. Step 6: Final answer
    x = 162,186.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.