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Finding the Third Proportional to 85,894 and 126,271

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Solution

The third proportional to 85,894 and 126,271 is: 185,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,894 : 126,271 = 126,271 : x
  2. Step 2: Convert to fraction form
    85,894/126,271 = 126,271/x
  3. Step 3: Cross multiply
    85,894x = 126,271 × 126,271
  4. Step 4: Simplify right side
    85,894x = 15,944,365,441
  5. Step 5: Solve for x
    x = 15,944,365,441/85,894
  6. Step 6: Final answer
    x = 185,628.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.