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Finding the Third Proportional to 56,259.98 and 122,179.64

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Solution

The third proportional to 56,259.98 and 122,179.64 is: 265,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,259.98 : 122,179.64 = 122,179.64 : x
  2. Step 2: Convert to fraction form
    56,259.98/122,179.64 = 122,179.64/x
  3. Step 3: Cross multiply
    56,259.98x = 122,179.64 × 122,179.64
  4. Step 4: Simplify right side
    56,259.98x = 14,927,864,583.25
  5. Step 5: Solve for x
    x = 14,927,864,583.25/56,259.98
  6. Step 6: Final answer
    x = 265,337.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.