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Finding the Third Proportional to 56,094 and 118,518

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Solution

The third proportional to 56,094 and 118,518 is: 250,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,094 : 118,518 = 118,518 : x
  2. Step 2: Convert to fraction form
    56,094/118,518 = 118,518/x
  3. Step 3: Cross multiply
    56,094x = 118,518 × 118,518
  4. Step 4: Simplify right side
    56,094x = 14,046,516,324
  5. Step 5: Solve for x
    x = 14,046,516,324/56,094
  6. Step 6: Final answer
    x = 250,410.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.