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Finding the Third Proportional to 68,017 and 105,577.50

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Solution

The third proportional to 68,017 and 105,577.50 is: 163,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,017 : 105,577.50 = 105,577.50 : x
  2. Step 2: Convert to fraction form
    68,017/105,577.50 = 105,577.50/x
  3. Step 3: Cross multiply
    68,017x = 105,577.50 × 105,577.50
  4. Step 4: Simplify right side
    68,017x = 11,146,608,506.25
  5. Step 5: Solve for x
    x = 11,146,608,506.25/68,017
  6. Step 6: Final answer
    x = 163,879.74

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