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Finding the Third Proportional to 68,967 and 105,457.50

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Solution

The third proportional to 68,967 and 105,457.50 is: 161,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,967 : 105,457.50 = 105,457.50 : x
  2. Step 2: Convert to fraction form
    68,967/105,457.50 = 105,457.50/x
  3. Step 3: Cross multiply
    68,967x = 105,457.50 × 105,457.50
  4. Step 4: Simplify right side
    68,967x = 11,121,284,306.25
  5. Step 5: Solve for x
    x = 11,121,284,306.25/68,967
  6. Step 6: Final answer
    x = 161,255.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.