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Finding the Third Proportional to 132,688 and 195,116

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Solution

The third proportional to 132,688 and 195,116 is: 286,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,688 : 195,116 = 195,116 : x
  2. Step 2: Convert to fraction form
    132,688/195,116 = 195,116/x
  3. Step 3: Cross multiply
    132,688x = 195,116 × 195,116
  4. Step 4: Simplify right side
    132,688x = 38,070,253,456
  5. Step 5: Solve for x
    x = 38,070,253,456/132,688
  6. Step 6: Final answer
    x = 286,915.57

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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.