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Finding the Third Proportional to 126,214.50 and 268,011

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Solution

The third proportional to 126,214.50 and 268,011 is: 569,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,214.50 : 268,011 = 268,011 : x
  2. Step 2: Convert to fraction form
    126,214.50/268,011 = 268,011/x
  3. Step 3: Cross multiply
    126,214.50x = 268,011 × 268,011
  4. Step 4: Simplify right side
    126,214.50x = 71,829,896,121
  5. Step 5: Solve for x
    x = 71,829,896,121/126,214.50
  6. Step 6: Final answer
    x = 569,109.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.