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Finding the Third Proportional to 60,314.50 and 127,433

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Solution

The third proportional to 60,314.50 and 127,433 is: 269,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,314.50 : 127,433 = 127,433 : x
  2. Step 2: Convert to fraction form
    60,314.50/127,433 = 127,433/x
  3. Step 3: Cross multiply
    60,314.50x = 127,433 × 127,433
  4. Step 4: Simplify right side
    60,314.50x = 16,239,169,489
  5. Step 5: Solve for x
    x = 16,239,169,489/60,314.50
  6. Step 6: Final answer
    x = 269,241.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.