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Finding the Third Proportional to 62,360 and 132,504

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Solution

The third proportional to 62,360 and 132,504 is: 281,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,360 : 132,504 = 132,504 : x
  2. Step 2: Convert to fraction form
    62,360/132,504 = 132,504/x
  3. Step 3: Cross multiply
    62,360x = 132,504 × 132,504
  4. Step 4: Simplify right side
    62,360x = 17,557,310,016
  5. Step 5: Solve for x
    x = 17,557,310,016/62,360
  6. Step 6: Final answer
    x = 281,547.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.