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Finding the Third Proportional to 54,930 and 74,616

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Solution

The third proportional to 54,930 and 74,616 is: 101,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,930 : 74,616 = 74,616 : x
  2. Step 2: Convert to fraction form
    54,930/74,616 = 74,616/x
  3. Step 3: Cross multiply
    54,930x = 74,616 × 74,616
  4. Step 4: Simplify right side
    54,930x = 5,567,547,456
  5. Step 5: Solve for x
    x = 5,567,547,456/54,930
  6. Step 6: Final answer
    x = 101,357.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.