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Finding the Third Proportional to 65,999.50 and 108,348

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Solution

The third proportional to 65,999.50 and 108,348 is: 177,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,999.50 : 108,348 = 108,348 : x
  2. Step 2: Convert to fraction form
    65,999.50/108,348 = 108,348/x
  3. Step 3: Cross multiply
    65,999.50x = 108,348 × 108,348
  4. Step 4: Simplify right side
    65,999.50x = 11,739,289,104
  5. Step 5: Solve for x
    x = 11,739,289,104/65,999.50
  6. Step 6: Final answer
    x = 177,869.36

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.