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Finding the Third Proportional to 112,708 and 174,426

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Solution

The third proportional to 112,708 and 174,426 is: 269,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,708 : 174,426 = 174,426 : x
  2. Step 2: Convert to fraction form
    112,708/174,426 = 174,426/x
  3. Step 3: Cross multiply
    112,708x = 174,426 × 174,426
  4. Step 4: Simplify right side
    112,708x = 30,424,429,476
  5. Step 5: Solve for x
    x = 30,424,429,476/112,708
  6. Step 6: Final answer
    x = 269,940.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.