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Finding the Third Proportional to 43,535 and 95,271

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Solution

The third proportional to 43,535 and 95,271 is: 208,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,535 : 95,271 = 95,271 : x
  2. Step 2: Convert to fraction form
    43,535/95,271 = 95,271/x
  3. Step 3: Cross multiply
    43,535x = 95,271 × 95,271
  4. Step 4: Simplify right side
    43,535x = 9,076,563,441
  5. Step 5: Solve for x
    x = 9,076,563,441/43,535
  6. Step 6: Final answer
    x = 208,488.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.