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Finding the Third Proportional to 111,849.19 and 169,401.38

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Solution

The third proportional to 111,849.19 and 169,401.38 is: 256,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,849.19 : 169,401.38 = 169,401.38 : x
  2. Step 2: Convert to fraction form
    111,849.19/169,401.38 = 169,401.38/x
  3. Step 3: Cross multiply
    111,849.19x = 169,401.38 × 169,401.38
  4. Step 4: Simplify right side
    111,849.19x = 28,696,825,851.89
  5. Step 5: Solve for x
    x = 28,696,825,851.89/111,849.19
  6. Step 6: Final answer
    x = 256,567.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.