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Finding the Third Proportional to 62,287.75 and 132,880.25

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Solution

The third proportional to 62,287.75 and 132,880.25 is: 283,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,287.75 : 132,880.25 = 132,880.25 : x
  2. Step 2: Convert to fraction form
    62,287.75/132,880.25 = 132,880.25/x
  3. Step 3: Cross multiply
    62,287.75x = 132,880.25 × 132,880.25
  4. Step 4: Simplify right side
    62,287.75x = 17,657,160,840.06
  5. Step 5: Solve for x
    x = 17,657,160,840.06/62,287.75
  6. Step 6: Final answer
    x = 283,477.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.