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Finding the Third Proportional to 56,548 and 119,768

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Solution

The third proportional to 56,548 and 119,768 is: 253,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,548 : 119,768 = 119,768 : x
  2. Step 2: Convert to fraction form
    56,548/119,768 = 119,768/x
  3. Step 3: Cross multiply
    56,548x = 119,768 × 119,768
  4. Step 4: Simplify right side
    56,548x = 14,344,373,824
  5. Step 5: Solve for x
    x = 14,344,373,824/56,548
  6. Step 6: Final answer
    x = 253,667.22

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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.