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Finding the Third Proportional to 68,830 and 96,929

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Solution

The third proportional to 68,830 and 96,929 is: 136,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,830 : 96,929 = 96,929 : x
  2. Step 2: Convert to fraction form
    68,830/96,929 = 96,929/x
  3. Step 3: Cross multiply
    68,830x = 96,929 × 96,929
  4. Step 4: Simplify right side
    68,830x = 9,395,231,041
  5. Step 5: Solve for x
    x = 9,395,231,041/68,830
  6. Step 6: Final answer
    x = 136,499.07

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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.