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Finding the Third Proportional to 52,612 and 112,696

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Solution

The third proportional to 52,612 and 112,696 is: 241,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612 : 112,696 = 112,696 : x
  2. Step 2: Convert to fraction form
    52,612/112,696 = 112,696/x
  3. Step 3: Cross multiply
    52,612x = 112,696 × 112,696
  4. Step 4: Simplify right side
    52,612x = 12,700,388,416
  5. Step 5: Solve for x
    x = 12,700,388,416/52,612
  6. Step 6: Final answer
    x = 241,397.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.