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Finding the Third Proportional to 112,822 and 174,902

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Solution

The third proportional to 112,822 and 174,902 is: 271,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,822 : 174,902 = 174,902 : x
  2. Step 2: Convert to fraction form
    112,822/174,902 = 174,902/x
  3. Step 3: Cross multiply
    112,822x = 174,902 × 174,902
  4. Step 4: Simplify right side
    112,822x = 30,590,709,604
  5. Step 5: Solve for x
    x = 30,590,709,604/112,822
  6. Step 6: Final answer
    x = 271,141.35

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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.