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Finding the Third Proportional to 95,346 and 141,390

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Solution

The third proportional to 95,346 and 141,390 is: 209,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,346 : 141,390 = 141,390 : x
  2. Step 2: Convert to fraction form
    95,346/141,390 = 141,390/x
  3. Step 3: Cross multiply
    95,346x = 141,390 × 141,390
  4. Step 4: Simplify right side
    95,346x = 19,991,132,100
  5. Step 5: Solve for x
    x = 19,991,132,100/95,346
  6. Step 6: Final answer
    x = 209,669.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.