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Finding the Third Proportional to 112,396 and 174,022

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Solution

The third proportional to 112,396 and 174,022 is: 269,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,396 : 174,022 = 174,022 : x
  2. Step 2: Convert to fraction form
    112,396/174,022 = 174,022/x
  3. Step 3: Cross multiply
    112,396x = 174,022 × 174,022
  4. Step 4: Simplify right side
    112,396x = 30,283,656,484
  5. Step 5: Solve for x
    x = 30,283,656,484/112,396
  6. Step 6: Final answer
    x = 269,437.14

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Why These Related Problems?

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