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Finding the Third Proportional to 71,964 and 112,662

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Solution

The third proportional to 71,964 and 112,662 is: 176,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,964 : 112,662 = 112,662 : x
  2. Step 2: Convert to fraction form
    71,964/112,662 = 112,662/x
  3. Step 3: Cross multiply
    71,964x = 112,662 × 112,662
  4. Step 4: Simplify right side
    71,964x = 12,692,726,244
  5. Step 5: Solve for x
    x = 12,692,726,244/71,964
  6. Step 6: Final answer
    x = 176,376.05

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