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Finding the Third Proportional to 54,984 and 82,148

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Solution

The third proportional to 54,984 and 82,148 is: 122,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,984 : 82,148 = 82,148 : x
  2. Step 2: Convert to fraction form
    54,984/82,148 = 82,148/x
  3. Step 3: Cross multiply
    54,984x = 82,148 × 82,148
  4. Step 4: Simplify right side
    54,984x = 6,748,293,904
  5. Step 5: Solve for x
    x = 6,748,293,904/54,984
  6. Step 6: Final answer
    x = 122,731.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.