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Finding the Third Proportional to 89,418.94 and 125,329.78

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Solution

The third proportional to 89,418.94 and 125,329.78 is: 175,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,418.94 : 125,329.78 = 125,329.78 : x
  2. Step 2: Convert to fraction form
    89,418.94/125,329.78 = 125,329.78/x
  3. Step 3: Cross multiply
    89,418.94x = 125,329.78 × 125,329.78
  4. Step 4: Simplify right side
    89,418.94x = 15,707,554,068.17
  5. Step 5: Solve for x
    x = 15,707,554,068.17/89,418.94
  6. Step 6: Final answer
    x = 175,662.50

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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.