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Finding the Third Proportional to 65,961 and 102,294

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Solution

The third proportional to 65,961 and 102,294 is: 158,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,961 : 102,294 = 102,294 : x
  2. Step 2: Convert to fraction form
    65,961/102,294 = 102,294/x
  3. Step 3: Cross multiply
    65,961x = 102,294 × 102,294
  4. Step 4: Simplify right side
    65,961x = 10,464,062,436
  5. Step 5: Solve for x
    x = 10,464,062,436/65,961
  6. Step 6: Final answer
    x = 158,640.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.