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Finding the Third Proportional to 68,830.75 and 96,930.25

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Solution

The third proportional to 68,830.75 and 96,930.25 is: 136,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,830.75 : 96,930.25 = 96,930.25 : x
  2. Step 2: Convert to fraction form
    68,830.75/96,930.25 = 96,930.25/x
  3. Step 3: Cross multiply
    68,830.75x = 96,930.25 × 96,930.25
  4. Step 4: Simplify right side
    68,830.75x = 9,395,473,365.06
  5. Step 5: Solve for x
    x = 9,395,473,365.06/68,830.75
  6. Step 6: Final answer
    x = 136,501.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.