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Finding the Third Proportional to 57,616 and 84,368

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Solution

The third proportional to 57,616 and 84,368 is: 123,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,616 : 84,368 = 84,368 : x
  2. Step 2: Convert to fraction form
    57,616/84,368 = 84,368/x
  3. Step 3: Cross multiply
    57,616x = 84,368 × 84,368
  4. Step 4: Simplify right side
    57,616x = 7,117,959,424
  5. Step 5: Solve for x
    x = 7,117,959,424/57,616
  6. Step 6: Final answer
    x = 123,541.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.