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Finding the Third Proportional to 56,340 and 86,627.25

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Solution

The third proportional to 56,340 and 86,627.25 is: 133,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,340 : 86,627.25 = 86,627.25 : x
  2. Step 2: Convert to fraction form
    56,340/86,627.25 = 86,627.25/x
  3. Step 3: Cross multiply
    56,340x = 86,627.25 × 86,627.25
  4. Step 4: Simplify right side
    56,340x = 7,504,280,442.56
  5. Step 5: Solve for x
    x = 7,504,280,442.56/56,340
  6. Step 6: Final answer
    x = 133,196.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.