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Finding the Third Proportional to 67,621.50 and 105,117

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Solution

The third proportional to 67,621.50 and 105,117 is: 163,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,621.50 : 105,117 = 105,117 : x
  2. Step 2: Convert to fraction form
    67,621.50/105,117 = 105,117/x
  3. Step 3: Cross multiply
    67,621.50x = 105,117 × 105,117
  4. Step 4: Simplify right side
    67,621.50x = 11,049,583,689
  5. Step 5: Solve for x
    x = 11,049,583,689/67,621.50
  6. Step 6: Final answer
    x = 163,403.41

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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.