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Finding the Third Proportional to 54,284 and 74,703

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Solution

The third proportional to 54,284 and 74,703 is: 102,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,284 : 74,703 = 74,703 : x
  2. Step 2: Convert to fraction form
    54,284/74,703 = 74,703/x
  3. Step 3: Cross multiply
    54,284x = 74,703 × 74,703
  4. Step 4: Simplify right side
    54,284x = 5,580,538,209
  5. Step 5: Solve for x
    x = 5,580,538,209/54,284
  6. Step 6: Final answer
    x = 102,802.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.