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Finding the Third Proportional to 126,142 and 210,229

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Solution

The third proportional to 126,142 and 210,229 is: 350,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,142 : 210,229 = 210,229 : x
  2. Step 2: Convert to fraction form
    126,142/210,229 = 210,229/x
  3. Step 3: Cross multiply
    126,142x = 210,229 × 210,229
  4. Step 4: Simplify right side
    126,142x = 44,196,232,441
  5. Step 5: Solve for x
    x = 44,196,232,441/126,142
  6. Step 6: Final answer
    x = 350,368.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.