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Finding the Third Proportional to 67,716 and 104,953.50

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Solution

The third proportional to 67,716 and 104,953.50 is: 162,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,716 : 104,953.50 = 104,953.50 : x
  2. Step 2: Convert to fraction form
    67,716/104,953.50 = 104,953.50/x
  3. Step 3: Cross multiply
    67,716x = 104,953.50 × 104,953.50
  4. Step 4: Simplify right side
    67,716x = 11,015,237,162.25
  5. Step 5: Solve for x
    x = 11,015,237,162.25/67,716
  6. Step 6: Final answer
    x = 162,668.16

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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.