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Finding the Third Proportional to 56,372 and 117,409

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Solution

The third proportional to 56,372 and 117,409 is: 244,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,372 : 117,409 = 117,409 : x
  2. Step 2: Convert to fraction form
    56,372/117,409 = 117,409/x
  3. Step 3: Cross multiply
    56,372x = 117,409 × 117,409
  4. Step 4: Simplify right side
    56,372x = 13,784,873,281
  5. Step 5: Solve for x
    x = 13,784,873,281/56,372
  6. Step 6: Final answer
    x = 244,534.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.