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Finding the Third Proportional to 62,160 and 135,356

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Solution

The third proportional to 62,160 and 135,356 is: 294,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,160 : 135,356 = 135,356 : x
  2. Step 2: Convert to fraction form
    62,160/135,356 = 135,356/x
  3. Step 3: Cross multiply
    62,160x = 135,356 × 135,356
  4. Step 4: Simplify right side
    62,160x = 18,321,246,736
  5. Step 5: Solve for x
    x = 18,321,246,736/62,160
  6. Step 6: Final answer
    x = 294,743.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.