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Finding the Third Proportional to 131,372 and 272,086

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Solution

The third proportional to 131,372 and 272,086 is: 563,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,372 : 272,086 = 272,086 : x
  2. Step 2: Convert to fraction form
    131,372/272,086 = 272,086/x
  3. Step 3: Cross multiply
    131,372x = 272,086 × 272,086
  4. Step 4: Simplify right side
    131,372x = 74,030,791,396
  5. Step 5: Solve for x
    x = 74,030,791,396/131,372
  6. Step 6: Final answer
    x = 563,520.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.