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Finding the Third Proportional to 54,811.69 and 90,828.84

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Solution

The third proportional to 54,811.69 and 90,828.84 is: 150,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.69 : 90,828.84 = 90,828.84 : x
  2. Step 2: Convert to fraction form
    54,811.69/90,828.84 = 90,828.84/x
  3. Step 3: Cross multiply
    54,811.69x = 90,828.84 × 90,828.84
  4. Step 4: Simplify right side
    54,811.69x = 8,249,878,856.96
  5. Step 5: Solve for x
    x = 8,249,878,856.96/54,811.69
  6. Step 6: Final answer
    x = 150,513.13

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.