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Finding the Third Proportional to 61,713 and 133,020

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Solution

The third proportional to 61,713 and 133,020 is: 286,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713 : 133,020 = 133,020 : x
  2. Step 2: Convert to fraction form
    61,713/133,020 = 133,020/x
  3. Step 3: Cross multiply
    61,713x = 133,020 × 133,020
  4. Step 4: Simplify right side
    61,713x = 17,694,320,400
  5. Step 5: Solve for x
    x = 17,694,320,400/61,713
  6. Step 6: Final answer
    x = 286,719.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.