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Finding the Third Proportional to 54,730.69 and 84,511.69

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Solution

The third proportional to 54,730.69 and 84,511.69 is: 130,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,730.69 : 84,511.69 = 84,511.69 : x
  2. Step 2: Convert to fraction form
    54,730.69/84,511.69 = 84,511.69/x
  3. Step 3: Cross multiply
    54,730.69x = 84,511.69 × 84,511.69
  4. Step 4: Simplify right side
    54,730.69x = 7,142,225,324.10
  5. Step 5: Solve for x
    x = 7,142,225,324.10/54,730.69
  6. Step 6: Final answer
    x = 130,497.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.