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Finding the Third Proportional to 67,381 and 105,385.50

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Solution

The third proportional to 67,381 and 105,385.50 is: 164,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,381 : 105,385.50 = 105,385.50 : x
  2. Step 2: Convert to fraction form
    67,381/105,385.50 = 105,385.50/x
  3. Step 3: Cross multiply
    67,381x = 105,385.50 × 105,385.50
  4. Step 4: Simplify right side
    67,381x = 11,106,103,610.25
  5. Step 5: Solve for x
    x = 11,106,103,610.25/67,381
  6. Step 6: Final answer
    x = 164,825.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.