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Finding the Third Proportional to 62,482 and 95,271

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Solution

The third proportional to 62,482 and 95,271 is: 145,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,482 : 95,271 = 95,271 : x
  2. Step 2: Convert to fraction form
    62,482/95,271 = 95,271/x
  3. Step 3: Cross multiply
    62,482x = 95,271 × 95,271
  4. Step 4: Simplify right side
    62,482x = 9,076,563,441
  5. Step 5: Solve for x
    x = 9,076,563,441/62,482
  6. Step 6: Final answer
    x = 145,266.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.