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Finding the Third Proportional to 69,017 and 97,165

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Solution

The third proportional to 69,017 and 97,165 is: 136,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,017 : 97,165 = 97,165 : x
  2. Step 2: Convert to fraction form
    69,017/97,165 = 97,165/x
  3. Step 3: Cross multiply
    69,017x = 97,165 × 97,165
  4. Step 4: Simplify right side
    69,017x = 9,441,037,225
  5. Step 5: Solve for x
    x = 9,441,037,225/69,017
  6. Step 6: Final answer
    x = 136,792.92

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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.