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Finding the Third Proportional to 54,689.63 and 89,301.94

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Solution

The third proportional to 54,689.63 and 89,301.94 is: 145,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,689.63 : 89,301.94 = 89,301.94 : x
  2. Step 2: Convert to fraction form
    54,689.63/89,301.94 = 89,301.94/x
  3. Step 3: Cross multiply
    54,689.63x = 89,301.94 × 89,301.94
  4. Step 4: Simplify right side
    54,689.63x = 7,974,836,041.25
  5. Step 5: Solve for x
    x = 7,974,836,041.25/54,689.63
  6. Step 6: Final answer
    x = 145,819.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.