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Finding the Third Proportional to 62,400 and 129,216

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Solution

The third proportional to 62,400 and 129,216 is: 267,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,400 : 129,216 = 129,216 : x
  2. Step 2: Convert to fraction form
    62,400/129,216 = 129,216/x
  3. Step 3: Cross multiply
    62,400x = 129,216 × 129,216
  4. Step 4: Simplify right side
    62,400x = 16,696,774,656
  5. Step 5: Solve for x
    x = 16,696,774,656/62,400
  6. Step 6: Final answer
    x = 267,576.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.