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Finding the Third Proportional to 67,967.86 and 105,027.26

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Solution

The third proportional to 67,967.86 and 105,027.26 is: 162,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,967.86 : 105,027.26 = 105,027.26 : x
  2. Step 2: Convert to fraction form
    67,967.86/105,027.26 = 105,027.26/x
  3. Step 3: Cross multiply
    67,967.86x = 105,027.26 × 105,027.26
  4. Step 4: Simplify right side
    67,967.86x = 11,030,724,883.61
  5. Step 5: Solve for x
    x = 11,030,724,883.61/67,967.86
  6. Step 6: Final answer
    x = 162,293.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.