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Finding the Third Proportional to 122,655.75 and 253,148.25

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Solution

The third proportional to 122,655.75 and 253,148.25 is: 522,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,655.75 : 253,148.25 = 253,148.25 : x
  2. Step 2: Convert to fraction form
    122,655.75/253,148.25 = 253,148.25/x
  3. Step 3: Cross multiply
    122,655.75x = 253,148.25 × 253,148.25
  4. Step 4: Simplify right side
    122,655.75x = 64,084,036,478.06
  5. Step 5: Solve for x
    x = 64,084,036,478.06/122,655.75
  6. Step 6: Final answer
    x = 522,470.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.