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Finding the Third Proportional to 54,730.69 and 83,215.69

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Solution

The third proportional to 54,730.69 and 83,215.69 is: 126,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,730.69 : 83,215.69 = 83,215.69 : x
  2. Step 2: Convert to fraction form
    54,730.69/83,215.69 = 83,215.69/x
  3. Step 3: Cross multiply
    54,730.69x = 83,215.69 × 83,215.69
  4. Step 4: Simplify right side
    54,730.69x = 6,924,850,646.10
  5. Step 5: Solve for x
    x = 6,924,850,646.10/54,730.69
  6. Step 6: Final answer
    x = 126,525.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.