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Finding the Third Proportional to 68,506.50 and 107,492.25

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Solution

The third proportional to 68,506.50 and 107,492.25 is: 168,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,506.50 : 107,492.25 = 107,492.25 : x
  2. Step 2: Convert to fraction form
    68,506.50/107,492.25 = 107,492.25/x
  3. Step 3: Cross multiply
    68,506.50x = 107,492.25 × 107,492.25
  4. Step 4: Simplify right side
    68,506.50x = 11,554,583,810.06
  5. Step 5: Solve for x
    x = 11,554,583,810.06/68,506.50
  6. Step 6: Final answer
    x = 168,664.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.