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Finding the Third Proportional to 121,875.75 and 271,758.75

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Solution

The third proportional to 121,875.75 and 271,758.75 is: 605,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,875.75 : 271,758.75 = 271,758.75 : x
  2. Step 2: Convert to fraction form
    121,875.75/271,758.75 = 271,758.75/x
  3. Step 3: Cross multiply
    121,875.75x = 271,758.75 × 271,758.75
  4. Step 4: Simplify right side
    121,875.75x = 73,852,818,201.56
  5. Step 5: Solve for x
    x = 73,852,818,201.56/121,875.75
  6. Step 6: Final answer
    x = 605,968.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.