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Finding the Third Proportional to 89,451 and 125,364.38

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Solution

The third proportional to 89,451 and 125,364.38 is: 175,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,451 : 125,364.38 = 125,364.38 : x
  2. Step 2: Convert to fraction form
    89,451/125,364.38 = 125,364.38/x
  3. Step 3: Cross multiply
    89,451x = 125,364.38 × 125,364.38
  4. Step 4: Simplify right side
    89,451x = 15,716,226,519.14
  5. Step 5: Solve for x
    x = 15,716,226,519.14/89,451
  6. Step 6: Final answer
    x = 175,696.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.