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Finding the Third Proportional to 115,871 and 155,194

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Solution

The third proportional to 115,871 and 155,194 is: 207,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,871 : 155,194 = 155,194 : x
  2. Step 2: Convert to fraction form
    115,871/155,194 = 155,194/x
  3. Step 3: Cross multiply
    115,871x = 155,194 × 155,194
  4. Step 4: Simplify right side
    115,871x = 24,085,177,636
  5. Step 5: Solve for x
    x = 24,085,177,636/115,871
  6. Step 6: Final answer
    x = 207,862.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.