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Finding the Third Proportional to 56,784 and 120,852

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Solution

The third proportional to 56,784 and 120,852 is: 257,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,784 : 120,852 = 120,852 : x
  2. Step 2: Convert to fraction form
    56,784/120,852 = 120,852/x
  3. Step 3: Cross multiply
    56,784x = 120,852 × 120,852
  4. Step 4: Simplify right side
    56,784x = 14,605,205,904
  5. Step 5: Solve for x
    x = 14,605,205,904/56,784
  6. Step 6: Final answer
    x = 257,206.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.