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Finding the Third Proportional to 68,175 and 99,225

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Solution

The third proportional to 68,175 and 99,225 is: 144,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,175 : 99,225 = 99,225 : x
  2. Step 2: Convert to fraction form
    68,175/99,225 = 99,225/x
  3. Step 3: Cross multiply
    68,175x = 99,225 × 99,225
  4. Step 4: Simplify right side
    68,175x = 9,845,600,625
  5. Step 5: Solve for x
    x = 9,845,600,625/68,175
  6. Step 6: Final answer
    x = 144,416.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.