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Finding the Third Proportional to 72,634 and 112,186

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Solution

The third proportional to 72,634 and 112,186 is: 173,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,634 : 112,186 = 112,186 : x
  2. Step 2: Convert to fraction form
    72,634/112,186 = 112,186/x
  3. Step 3: Cross multiply
    72,634x = 112,186 × 112,186
  4. Step 4: Simplify right side
    72,634x = 12,585,698,596
  5. Step 5: Solve for x
    x = 12,585,698,596/72,634
  6. Step 6: Final answer
    x = 173,275.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.