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Finding the Third Proportional to 89,674.59 and 144,490.08

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Solution

The third proportional to 89,674.59 and 144,490.08 is: 232,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,674.59 : 144,490.08 = 144,490.08 : x
  2. Step 2: Convert to fraction form
    89,674.59/144,490.08 = 144,490.08/x
  3. Step 3: Cross multiply
    89,674.59x = 144,490.08 × 144,490.08
  4. Step 4: Simplify right side
    89,674.59x = 20,877,382,676.57
  5. Step 5: Solve for x
    x = 20,877,382,676.57/89,674.59
  6. Step 6: Final answer
    x = 232,812.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.