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Finding the Third Proportional to 69,665 and 104,335

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Solution

The third proportional to 69,665 and 104,335 is: 156,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,665 : 104,335 = 104,335 : x
  2. Step 2: Convert to fraction form
    69,665/104,335 = 104,335/x
  3. Step 3: Cross multiply
    69,665x = 104,335 × 104,335
  4. Step 4: Simplify right side
    69,665x = 10,885,792,225
  5. Step 5: Solve for x
    x = 10,885,792,225/69,665
  6. Step 6: Final answer
    x = 156,259.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.