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Finding the Third Proportional to 52,226 and 112,606

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Solution

The third proportional to 52,226 and 112,606 is: 242,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,226 : 112,606 = 112,606 : x
  2. Step 2: Convert to fraction form
    52,226/112,606 = 112,606/x
  3. Step 3: Cross multiply
    52,226x = 112,606 × 112,606
  4. Step 4: Simplify right side
    52,226x = 12,680,111,236
  5. Step 5: Solve for x
    x = 12,680,111,236/52,226
  6. Step 6: Final answer
    x = 242,793.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.