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Finding the Third Proportional to 61,713 and 135,216

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Solution

The third proportional to 61,713 and 135,216 is: 296,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713 : 135,216 = 135,216 : x
  2. Step 2: Convert to fraction form
    61,713/135,216 = 135,216/x
  3. Step 3: Cross multiply
    61,713x = 135,216 × 135,216
  4. Step 4: Simplify right side
    61,713x = 18,283,366,656
  5. Step 5: Solve for x
    x = 18,283,366,656/61,713
  6. Step 6: Final answer
    x = 296,264.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.