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Finding the Third Proportional to 60,294 and 122,229

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Solution

The third proportional to 60,294 and 122,229 is: 247,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,294 : 122,229 = 122,229 : x
  2. Step 2: Convert to fraction form
    60,294/122,229 = 122,229/x
  3. Step 3: Cross multiply
    60,294x = 122,229 × 122,229
  4. Step 4: Simplify right side
    60,294x = 14,939,928,441
  5. Step 5: Solve for x
    x = 14,939,928,441/60,294
  6. Step 6: Final answer
    x = 247,784.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.