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Finding the Third Proportional to 66,853 and 100,294

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Solution

The third proportional to 66,853 and 100,294 is: 150,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,853 : 100,294 = 100,294 : x
  2. Step 2: Convert to fraction form
    66,853/100,294 = 100,294/x
  3. Step 3: Cross multiply
    66,853x = 100,294 × 100,294
  4. Step 4: Simplify right side
    66,853x = 10,058,886,436
  5. Step 5: Solve for x
    x = 10,058,886,436/66,853
  6. Step 6: Final answer
    x = 150,462.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.