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Finding the Third Proportional to 120,096 and 176,688

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Solution

The third proportional to 120,096 and 176,688 is: 259,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,096 : 176,688 = 176,688 : x
  2. Step 2: Convert to fraction form
    120,096/176,688 = 176,688/x
  3. Step 3: Cross multiply
    120,096x = 176,688 × 176,688
  4. Step 4: Simplify right side
    120,096x = 31,218,649,344
  5. Step 5: Solve for x
    x = 31,218,649,344/120,096
  6. Step 6: Final answer
    x = 259,947.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.